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
24.1-a6
24.1-a
$6$
$8$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
24.1
\( 2^{3} \cdot 3 \)
\( 2^{22} \cdot 3^{4} \)
$1.53203$
$(2,a+1), (3,a)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2^{2} \)
$1$
$2.325279868$
1.200769361
\( \frac{3065617154}{9} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -384\) , \( -2772\bigr] \)
${y}^2={x}^{3}-{x}^{2}-384{x}-2772$
24.1-b6
24.1-b
$6$
$8$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
24.1
\( 2^{3} \cdot 3 \)
\( 2^{10} \cdot 3^{4} \)
$1.53203$
$(2,a+1), (3,a)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2^{3} \)
$1$
$2.325279868$
2.401538722
\( \frac{3065617154}{9} \)
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -771 a - 2980\) , \( -23368 a - 90502\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-771a-2980\right){x}-23368a-90502$
24.1-c6
24.1-c
$6$
$8$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
24.1
\( 2^{3} \cdot 3 \)
\( 2^{22} \cdot 3^{4} \)
$1.53203$
$(2,a+1), (3,a)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$0.832965173$
$22.73403407$
2.444712118
\( \frac{3065617154}{9} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -384\) , \( 2772\bigr] \)
${y}^2={x}^{3}+{x}^{2}-384{x}+2772$
24.1-d6
24.1-d
$6$
$8$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
24.1
\( 2^{3} \cdot 3 \)
\( 2^{10} \cdot 3^{4} \)
$1.53203$
$(2,a+1), (3,a)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.374241721$
$22.73403407$
2.196762362
\( \frac{3065617154}{9} \)
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -767 a - 2969\) , \( 21062 a + 81573\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-767a-2969\right){x}+21062a+81573$
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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.