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-a5 75.1-a $8$
$16$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
75.1
\( 3 \cdot 5^{2} \)
\( 3^{4} \cdot 5^{4} \)
$2.53598$
$(a+4), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $4$
\( 2^{3} \)
$1$
$10.19195692$
2.113713401
\( \frac{13997521}{225} \)
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 439 a - 2316\) , \( 11311 a - 60156\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(439a-2316\right){x}+11311a-60156$
75.1-b5 75.1-b $8$
$16$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
75.1
\( 3 \cdot 5^{2} \)
\( 3^{4} \cdot 5^{4} \)
$2.53598$
$(a+4), (5)$
$1$
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{2} \)
$4.931256663$
$31.38702211$
2.006209393
\( \frac{13997521}{225} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -5\) , \( 2\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$
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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.
