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-a1 75.1-a $8$
$16$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
75.1
\( 3 \cdot 5^{2} \)
\( 3^{32} \cdot 5^{2} \)
$2.53598$
$(a+4), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{5} \)
$1$
$2.547989231$
2.113713401
\( -\frac{147281603041}{215233605} \)
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -9574 a - 41356\) , \( 2099208 a + 9072429\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-9574a-41356\right){x}+2099208a+9072429$
75.1-b1 75.1-b $8$
$16$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
75.1
\( 3 \cdot 5^{2} \)
\( 3^{32} \cdot 5^{2} \)
$2.53598$
$(a+4), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2 \)
$39.45005330$
$0.490422220$
2.006209393
\( -\frac{147281603041}{215233605} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -110\) , \( -880\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$
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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.
