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-a5 2450.1-a $6$
$18$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( - 2^{9} \cdot 5^{4} \cdot 7^{19} \)
$1.77818$
$(a), (-2a+1), (2a+1), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{2} \cdot 3^{2} \)
$1.837151921$
$0.185753360$
2.171747156
\( \frac{136655602923200722901307}{1302730878328359200} a + \frac{73203665356140842512049}{651365439164179600} \)
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 588 a - 3844\) , \( 20724 a - 93386\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(588a-3844\right){x}+20724a-93386$
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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.
