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
24025.1-a1
24025.1-a
$2$
$5$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
24025.1
\( 5^{2} \cdot 31^{2} \)
\( 5^{2} \cdot 31^{10} \)
$2.94343$
$(5), (31)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.2
$1$
\( 5 \)
$0.302977456$
$0.407761090$
0.933892899
\( -\frac{65626385453056}{143145755} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -840\) , \( -9114\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-840{x}-9114$
24025.1-a2
24025.1-a
$2$
$5$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
24025.1
\( 5^{2} \cdot 31^{2} \)
\( 5^{10} \cdot 31^{2} \)
$2.94343$
$(5), (31)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.1
$1$
\( 5 \)
$1.514887282$
$2.038805454$
0.933892899
\( \frac{99897344}{96875} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( 10\) , \( 6\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}+10{x}+6$
24025.1-b1
24025.1-b
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
24025.1
\( 5^{2} \cdot 31^{2} \)
\( 5^{4} \cdot 31^{2} \)
$2.94343$
$(5), (31)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2 \)
$0.632914485$
$4.592178700$
2.197074538
\( -\frac{117649}{775} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1\) , \( -2\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-{x}-2$
24025.1-b2
24025.1-b
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
24025.1
\( 5^{2} \cdot 31^{2} \)
\( 5^{2} \cdot 31^{4} \)
$2.94343$
$(5), (31)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2 \)
$1.265828970$
$2.296089350$
2.197074538
\( \frac{1948441249}{4805} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -26\) , \( -62\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-26{x}-62$
24025.1-c1
24025.1-c
$1$
$1$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
24025.1
\( 5^{2} \cdot 31^{2} \)
\( 5^{2} \cdot 31^{2} \)
$2.94343$
$(5), (31)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$1$
\( 1 \)
$0.184143922$
$5.780453452$
1.609275019
\( -\frac{262144}{155} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -1\) , \( 1\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-{x}+1$
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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.