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
11.1-a3 11.1-a $3$
$25$
\(\Q(\sqrt{77}) \) $2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$1.42801$
$(a-6)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.4.1 $1$
\( 2 \)
$0.555680735$
$8.512583687$
2.156261180
\( -\frac{4096}{11} \)
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -2 a - 5\) , \( -19 a - 75\bigr] \) ${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2a-5\right){x}-19a-75$
11.1-b3 11.1-b $3$
$25$
\(\Q(\sqrt{77}) \) $2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$1.42801$
$(a-6)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.1.1 $1$
\( 2 \)
$2.820635358$
$40.27230645$
2.071228764
\( -\frac{4096}{11} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}$
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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.
