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
49.1-a1 49.1-a $4$
$14$
\(\Q(\sqrt{-259}) \) $2$
$[0, 1]$
49.1
\( 7^{2} \)
\( 7^{6} \)
$3.80485$
$(7,a+3)$
0
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$ ✓
✓
✓
$7$
7B.1.5 $1$
\( 2^{2} \)
$1$
$4.944504600$
0.614473133
\( -3375 \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -2\) , \( -1\bigr] \) ${y}^2+{x}{y}={x}^3-{x}^2-2{x}-1$
49.1-a2 49.1-a $4$
$14$
\(\Q(\sqrt{-259}) \) $2$
$[0, 1]$
49.1
\( 7^{2} \)
\( 7^{18} \)
$3.80485$
$(7,a+3)$
0
$\Z/2\Z$
$\textsf{potential}$
$-7$
$N(\mathrm{U}(1))$ ✓
✓
✓
$7$
7B.1.5 $1$
\( 2^{2} \)
$1$
$4.944504600$
0.614473133
\( -3375 \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -107\) , \( 552\bigr] \) ${y}^2+{x}{y}={x}^3-{x}^2-107{x}+552$
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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.
