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
17.2-a1
17.2-a
$1$
$1$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
17.2
\( 17 \)
\( 17^{6} \)
$1.59219$
$(a-2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Nn
$4$
\( 2 \)
$1$
$1.719733854$
1.567854891
\( \frac{16539036917760}{24137569} a - \frac{80834108239872}{24137569} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( 2 a - 7\) , \( -a - 26\bigr] \)
${y}^2+{y}={x}^{3}+\left(2a-7\right){x}-a-26$
17.2-b1
17.2-b
$1$
$1$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
17.2
\( 17 \)
\( 17^{6} \)
$1.59219$
$(a-2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Nn
$1$
\( 2 \cdot 3 \)
$0.127016004$
$13.96491997$
2.425675946
\( \frac{16539036917760}{24137569} a - \frac{80834108239872}{24137569} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( 25 a + 97\) , \( 2451 a + 9528\bigr] \)
${y}^2+{y}={x}^{3}+\left(25a+97\right){x}+2451a+9528$
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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.