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
2450.1-m3 2450.1-m $6$
$18$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( - 2^{3} \cdot 5^{12} \cdot 7^{9} \)
$1.77818$
$(a), (-2a+1), (2a+1), (5)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3Cs.1.1 $1$
\( 2^{2} \cdot 3^{3} \)
$0.612383973$
$1.671780241$
2.171747156
\( -\frac{6576803829297}{1470612500} a + \frac{28597719170581}{3676531250} \)
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 161 a + 31\) , \( -649 a + 39\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(161a+31\right){x}-649a+39$
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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.
