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
6272.1-a2
6272.1-a
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
6272.1
\( 2^{7} \cdot 7^{2} \)
\( 2^{7} \cdot 7^{4} \)
$1.59045$
$(a+1), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2 \)
$1$
$4.250988810$
2.125494405
\( \frac{694948}{49} a + \frac{30148}{7} \)
\( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -4 i - 3\) , \( -3 i\bigr] \)
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-4i-3\right){x}-3i$
12544.1-c2
12544.1-c
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
12544.1
\( 2^{8} \cdot 7^{2} \)
\( 2^{19} \cdot 7^{4} \)
$1.89137$
$(a+1), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \)
$0.643484354$
$2.125494405$
2.735444791
\( \frac{694948}{49} a + \frac{30148}{7} \)
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -10 i - 13\) , \( 31 i + 13\bigr] \)
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-10i-13\right){x}+31i+13$
50176.1-f2
50176.1-f
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
50176.1
\( 2^{10} \cdot 7^{2} \)
\( 2^{25} \cdot 7^{4} \)
$2.67481$
$(a+1), (7)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$0.423394148$
$1.502951507$
5.090726994
\( \frac{694948}{49} a + \frac{30148}{7} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( 26 i - 21\) , \( 62 i - 15\bigr] \)
${y}^2={x}^{3}-{x}^{2}+\left(26i-21\right){x}+62i-15$
50176.1-m2
50176.1-m
$2$
$2$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
50176.1
\( 2^{10} \cdot 7^{2} \)
\( 2^{25} \cdot 7^{4} \)
$2.67481$
$(a+1), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \)
$1.578888186$
$1.502951507$
4.745984757
\( \frac{694948}{49} a + \frac{30148}{7} \)
\( \bigl[0\) , \( i\) , \( 0\) , \( -26 i + 21\) , \( -15 i - 62\bigr] \)
${y}^2={x}^{3}+i{x}^{2}+\left(-26i+21\right){x}-15i-62$
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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.