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
75.1-a8 75.1-a $8$
$16$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
75.1
\( 3 \cdot 5^{2} \)
\( 3^{8} \cdot 5^{2} \)
$2.53598$
$(a+4), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{3} \)
$1$
$10.19195692$
2.113713401
\( \frac{1114544804970241}{405} \)
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -187924 a - 812156\) , \( 97324808 a + 420620839\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-187924a-812156\right){x}+97324808a+420620839$
75.1-b8 75.1-b $8$
$16$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
75.1
\( 3 \cdot 5^{2} \)
\( 3^{8} \cdot 5^{2} \)
$2.53598$
$(a+4), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2 \)
$39.45005330$
$0.490422220$
2.006209393
\( \frac{1114544804970241}{405} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -2160\) , \( -39540\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$
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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.
