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-a1
3025.1-a
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
3025.1
\( 5^{2} \cdot 11^{2} \)
\( 5^{2} \cdot 11^{2} \)
$1.14784$
$(5), (11)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 1 \)
$0.329657945$
$7.082488443$
1.347996592
\( \frac{59319}{55} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( a - 1\) , \( 0\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}$
3025.1-a2
3025.1-a
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
3025.1
\( 5^{2} \cdot 11^{2} \)
\( 5^{4} \cdot 11^{4} \)
$1.14784$
$(5), (11)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$1$
\( 2^{2} \)
$0.659315890$
$3.541244221$
1.347996592
\( \frac{8120601}{3025} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -4 a + 4\) , \( 3\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-4a+4\right){x}+3$
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
\( \frac{2749884201}{73205} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -29 a + 29\) , \( -52\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-29a+29\right){x}-52$
3025.1-a4
3025.1-a
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
3025.1
\( 5^{2} \cdot 11^{2} \)
\( 5^{8} \cdot 11^{2} \)
$1.14784$
$(5), (11)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1.318631780$
$1.770622110$
1.347996592
\( \frac{22930509321}{6875} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -59 a + 59\) , \( 190\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-59a+59\right){x}+190$
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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.