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
3025.1-a3 3025.1-a $4$
$4$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
3025.1
\( 5^{2} \cdot 11^{2} \)
\( 5^{2} \cdot 11^{8} \)
$1.14784$
$(5), (11)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{2} \)
$0.329657945$
$1.770622110$
1.347996592
\( \frac{2749884201}{73205} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -29 a + 29\) , \( -52\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-29a+29\right){x}-52$
75625.1-a3 75625.1-a $4$
$4$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
75625.1
\( 5^{4} \cdot 11^{2} \)
\( 5^{14} \cdot 11^{8} \)
$2.56664$
$(5), (11)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{4} \)
$0.643065794$
$0.354124422$
4.207272481
\( \frac{2749884201}{73205} \)
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( -730 a + 729\) , \( -7228\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-730a+729\right){x}-7228$
Download
displayed columns for
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.
