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
7744.1-a1
7744.1-a
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
7744.1
\( 2^{6} \cdot 11^{2} \)
\( 2^{12} \cdot 11^{2} \)
$1.67652$
$(a+1), (11)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2^{2} \)
$0.031863378$
$4.695501984$
2.393832924
\( \frac{512}{11} \)
\( \bigl[0\) , \( -i\) , \( 0\) , \( -1\) , \( -i\bigr] \)
${y}^2={x}^{3}-i{x}^{2}-{x}-i$
7744.1-b1
7744.1-b
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
7744.1
\( 2^{6} \cdot 11^{2} \)
\( 2^{12} \cdot 11^{2} \)
$1.67652$
$(a+1), (11)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.206774281$
$3.323417635$
2.748789176
\( -\frac{2515456}{11} \)
\( \bigl[0\) , \( i\) , \( 0\) , \( 11\) , \( -11 i\bigr] \)
${y}^2={x}^{3}+i{x}^{2}+11{x}-11i$
7744.1-c1
7744.1-c
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
7744.1
\( 2^{6} \cdot 11^{2} \)
\( 2^{12} \cdot 11^{6} \)
$1.67652$
$(a+1), (11)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3Cn
$1$
\( 2 \cdot 3 \)
$0.113810843$
$2.114931431$
2.888425568
\( \frac{13824}{1331} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( -14 i\bigr] \)
${y}^2={x}^{3}-2{x}-14i$
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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.