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
76.1-a1
76.1-a
$1$
$1$
\(\Q(\sqrt{19}) \)
$2$
$[2, 0]$
76.1
\( 2^{2} \cdot 19 \)
\( 2^{4} \cdot 19^{2} \)
$2.30011$
$(-3a+13), (a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$5.276507669$
$2.466064026$
5.970409463
\( -\frac{4194304}{19} \)
\( \bigl[0\) , \( -1\) , \( a + 1\) , \( 70720 a - 308261\) , \( 21432885 a - 93423787\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(70720a-308261\right){x}+21432885a-93423787$
76.1-b1
76.1-b
$1$
$1$
\(\Q(\sqrt{19}) \)
$2$
$[2, 0]$
76.1
\( 2^{2} \cdot 19 \)
\( 2^{4} \cdot 19^{2} \)
$2.30011$
$(-3a+13), (a)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \cdot 3 \)
$0.022894124$
$37.85217514$
2.385719235
\( -\frac{4194304}{19} \)
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( 70720 a - 308261\) , \( -21432886 a + 93423777\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(70720a-308261\right){x}-21432886a+93423777$
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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.