Label
Class
Class size
Class degree
Base field
Field degree
Field signature
Conductor
Conductor norm
Discriminant norm
Root analytic conductor
Bad primes
Rank
Torsion
CM
CM
Sato-Tate
$\Q$-curve
Base change
Semistable
Potentially good
Nonmax $\ell$
mod-$\ell$ images
$Ш_{\textrm{an}}$
Tamagawa
Regulator
Period
Leading coeff
j-invariant
Weierstrass coefficients
Weierstrass equation
49.1-CMa1
49.1-CMa
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
49.1
\( 7^{2} \)
\( 7^{6} \)
$0.62551$
$(-2a+1)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{yes}$
$-7$
$\mathrm{U}(1)$
✓
✓
✓
$7$
7B.1.4[2]
$1$
\( 2^{2} \)
$1$
$4.944504600$
0.934423537
\( -3375 \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -2\) , \( -1\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-2{x}-1$
49.1-CMa2
49.1-CMa
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
49.1
\( 7^{2} \)
\( 7^{6} \)
$0.62551$
$(-2a+1)$
0
$\Z/2\Z$
$\textsf{yes}$
$-28$
$\mathrm{U}(1)$
✓
✓
✓
$7$
7B.1.4[2]
$1$
\( 2 \)
$1$
$2.472252300$
0.934423537
\( 16581375 \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -37\) , \( -78\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-37{x}-78$
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*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.