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
25.1-a1 25.1-a $2$
$2$
3.3.148.1 $3$
$[3, 0]$
25.1
\( 5^{2} \)
\( - 5^{4} \)
$1.85891$
$(-2a^2+a+4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2 \)
$1$
$27.32435168$
1.123023936
\( \frac{344767070183}{25} a^{2} - \frac{855434265001}{25} a + \frac{232763312321}{25} \)
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 6 a - 10\) , \( -4 a^{2} + 12 a - 9\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-10\right){x}-4a^{2}+12a-9$
400.1-a1 400.1-a $2$
$2$
3.3.148.1 $3$
$[3, 0]$
400.1
\( 2^{4} \cdot 5^{2} \)
\( - 2^{12} \cdot 5^{4} \)
$2.95084$
$(a^2-a-2), (-2a^2+a+4)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \)
$0.165983843$
$52.48082695$
2.148111812
\( \frac{344767070183}{25} a^{2} - \frac{855434265001}{25} a + \frac{232763312321}{25} \)
\( \bigl[a^{2} - a - 2\) , \( -a^{2} + 2 a + 3\) , \( a^{2} - a - 2\) , \( -2 a^{2} + 12 a - 5\) , \( 15 a^{2} - 26 a - 7\bigr] \) ${y}^2+\left(a^{2}-a-2\right){x}{y}+\left(a^{2}-a-2\right){y}={x}^{3}+\left(-a^{2}+2a+3\right){x}^{2}+\left(-2a^{2}+12a-5\right){x}+15a^{2}-26a-7$
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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.
