Merge pull request #6298 from AndrewVSutherland/main

Fix some minor typos in BHKSSW and SW dataset templates

lmfdb/elliptic_curves/templates/bhkssw.html

@@ -9,7 +9,7 @@
 <h3>File and data format</h3>
 
 <p>
-  The data is stored in text files, indexed from $k=0$ to $k=2699$.  The file $k$.txt contains all of the elliptic curves whose minimal short Weierstrass form $y^2 = x^3 + A x + B$ has naive height $H$ in the range: the $k$th file contains data for $k \cdot 10^7 < H \le (k+1) \cdot 10^7$.
+  The data is stored in text files, indexed from $k=0$ to $k=2699$.  The file $k$.txt contains data for elliptic curves $y^2 = x^3 + A x + B$ with $k \cdot 10^7 < H \le (k+1) \cdot 10^7$, where $H:=\max(4|A|^3,27B^2)$.
 </p>
 
 <p>

lmfdb/elliptic_curves/templates/sw_ecdb.html

@@ -3,13 +3,13 @@
 {% block content %}
 
 <p>
-  This dataset contains 136,924,520 {{KNOWL('ec.q', 'elliptic curves')}} over $\Q$ with {{ KNOWL('ec.q.conductor', 'conductor') }} up to $10^8$, divided into 115,821,258 {{KNOWL('ec.isogeny_class', 'isogeny classes')}}.  It also contains 11,378,911 elliptic curves with prime conductor up to $10^{10}$, divided into 11,372,286 isogeny classes.  Note that not curves are included within these conductor ranges; see <a href="https://doi.org/10.1007/3-540-45455-1_22">SStein-Watkins</a> for more details.
+  This dataset contains 136,924,520 {{KNOWL('ec.q', 'elliptic curves')}} over $\Q$ with {{ KNOWL('ec.q.conductor', 'conductor') }} up to $10^8$, divided into 115,821,258 {{KNOWL('ec.isogeny_class', 'isogeny classes')}}.  It also contains 11,378,911 elliptic curves with prime conductor up to $10^{10}$, divided into 11,372,286 isogeny classes.  Not every curve satisfying these conductor bounds is present in this dataset, only those that satisfy additional bounds on the discriminant and coefficients are included; see <a href="https://doi.org/10.1007/3-540-45455-1_22">Stein-Watkins</a> for details.
 </p>
 
 <h3>File and data format</h3>
 
 <p>
-  The data for conductors $N$ up to $10^8$ is stored in 1000 text files, indexed from $k=0$ to $k=999$.  The $k$th file contains data for $k \cdot 10^5 < N \le (k+1) \cdot 10^5$.  Similarly, the data for prime conductors $p$ up to $10^{10}$ is stored in 100 text files, indexed from $k=0$ to $k=99$.  The $k$th file contains data for $k \cdot 10^8 < p \le (k+1) \cdot 10^8$.
+  The data for conductors $N\le 10^8$ is stored in 1000 text files, indexed from $k=0$ to $k=999$, where the $k$th file contains data for $k \cdot 10^5 < N \le (k+1) \cdot 10^5$.  Similarly, the data for prime conductors $p\le 10^{10}$ is stored in 100 text files, indexed from $k=0$ to $k=99$, where the $k$th file contains data for $k \cdot 10^8 < p \le (k+1) \cdot 10^8$.
 </p>
 
 <p>