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
6.1-a1
6.1-a
$2$
$7$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
6.1
\( 2 \cdot 3 \)
\( 2^{13} \cdot 3 \)
$0.88452$
$(2,a), (3,a+2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B.6.3
$49$
\( 1 \)
$1$
$0.136429462$
1.056998213
\( \frac{574055084970269951}{6} a - \frac{907661070264560078}{3} \)
\( \bigl[a\) , \( a\) , \( 0\) , \( 1263 a - 8032\) , \( 62956 a - 305877\bigr] \)
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(1263a-8032\right){x}+62956a-305877$
6.1-a2
6.1-a
$2$
$7$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
6.1
\( 2 \cdot 3 \)
\( 2^{19} \cdot 3^{7} \)
$0.88452$
$(2,a), (3,a+2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B.6.1
$1$
\( 1 \)
$1$
$6.685043672$
1.056998213
\( \frac{7261339}{34992} a + \frac{5642407}{8748} \)
\( \bigl[a\) , \( a\) , \( 0\) , \( 3 a + 8\) , \( 4 a + 3\bigr] \)
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(3a+8\right){x}+4a+3$
6.1-b1
6.1-b
$2$
$7$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
6.1
\( 2 \cdot 3 \)
\( 2 \cdot 3 \)
$0.88452$
$(2,a), (3,a+2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B.1.3
$49$
\( 1 \)
$1$
$0.136429462$
1.056998213
\( \frac{574055084970269951}{6} a - \frac{907661070264560078}{3} \)
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 314 a - 2006\) , \( 8873 a - 39813\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(314a-2006\right){x}+8873a-39813$
6.1-b2
6.1-b
$2$
$7$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
6.1
\( 2 \cdot 3 \)
\( 2^{7} \cdot 3^{7} \)
$0.88452$
$(2,a), (3,a+2)$
0
$\Z/7\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B.1.1
$1$
\( 7^{2} \)
$1$
$6.685043672$
1.056998213
\( \frac{7261339}{34992} a + \frac{5642407}{8748} \)
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -a + 4\) , \( -a - 3\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+4\right){x}-a-3$
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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.