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
11200.4-a1
11200.4-a
$1$
$1$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
11200.4
\( 2^{6} \cdot 5^{2} \cdot 7 \)
\( 2^{16} \cdot 5^{2} \cdot 7^{2} \)
$2.43216$
$(a), (-a+1), (-2a+1), (5)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2^{5} \)
$0.015534780$
$3.073025053$
4.619151143
\( -\frac{1024}{35} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1\) , \( 5\bigr] \)
${y}^2={x}^{3}-{x}^{2}-{x}+5$
11200.4-b1
11200.4-b
$1$
$1$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
11200.4
\( 2^{6} \cdot 5^{2} \cdot 7 \)
\( 2^{16} \cdot 5^{10} \cdot 7^{6} \)
$2.43216$
$(a), (-a+1), (-2a+1), (5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2^{5} \cdot 3 \cdot 5 \)
$0.011277526$
$0.457060343$
3.740585802
\( -\frac{30211716096}{1071875} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -412\) , \( 3316\bigr] \)
${y}^2={x}^{3}-412{x}+3316$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.