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
2025.2-a1 2025.2-a $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
2025.2
\( 3^{4} \cdot 5^{2} \)
\( 3^{18} \cdot 5^{5} \)
$1.19888$
$(-a-2), (2a+1), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{2} \)
$1$
$1.038842612$
1.038842612
\( -\frac{8722944}{125} a - \frac{10158912}{125} \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( -14 i + 101\) , \( -341 i - 74\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-14i+101\right){x}-341i-74$
2025.2-b1 2025.2-b $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
2025.2
\( 3^{4} \cdot 5^{2} \)
\( 3^{6} \cdot 5^{5} \)
$1.19888$
$(-a-2), (2a+1), (3)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{2} \cdot 3 \)
$1$
$3.116527837$
1.038842612
\( -\frac{8722944}{125} a - \frac{10158912}{125} \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( -2 i + 11\) , \( -9 i - 2\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-2i+11\right){x}-9i-2$
50625.3-d1 50625.3-d $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
50625.3
\( 3^{4} \cdot 5^{4} \)
\( 3^{18} \cdot 5^{17} \)
$2.68077$
$(-a-2), (2a+1), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B $1$
\( 2^{4} \)
$1.897634689$
$0.207768522$
3.154150045
\( -\frac{8722944}{125} a - \frac{10158912}{125} \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( -338 i + 2531\) , \( -47672 i - 9956\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-338i+2531\right){x}-47672i-9956$
50625.3-e1 50625.3-e $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
50625.3
\( 3^{4} \cdot 5^{4} \)
\( 3^{6} \cdot 5^{17} \)
$2.68077$
$(-a-2), (2a+1), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B $1$
\( 2^{5} \)
$0.316272448$
$0.623305567$
3.154150045
\( -\frac{8722944}{125} a - \frac{10158912}{125} \)
\( \bigl[i + 1\) , \( i\) , \( i\) , \( -38 i + 281\) , \( -1672 i - 356\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-38i+281\right){x}-1672i-356$
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Pari/GP
SageMath
Magma
Oscar
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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.
