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
150.1-b1
150.1-b
$12$
$24$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
150.1
\( 2 \cdot 3 \cdot 5^{2} \)
\( - 2 \cdot 3^{3} \cdot 5^{10} \)
$1.53203$
$(-a+2), (a+3), (-a-1), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.2
$4$
\( 2^{4} \cdot 3 \)
$1$
$0.335468070$
3.286902394
\( -\frac{8889588234944170142939}{7031250} a + \frac{1209719733278025672168}{390625} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -5606 a - 13776\) , \( -395577 a - 969132\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-5606a-13776\right){x}-395577a-969132$
150.1-e1
150.1-e
$12$
$24$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
150.1
\( 2 \cdot 3 \cdot 5^{2} \)
\( - 2 \cdot 3^{3} \cdot 5^{10} \)
$1.53203$
$(-a+2), (a+3), (-a-1), (-a+1)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{2} \cdot 3 \)
$2.508372848$
$5.617778566$
1.917607978
\( -\frac{8889588234944170142939}{7031250} a + \frac{1209719733278025672168}{390625} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 885 a - 2449\) , \( -24162 a + 61154\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(885a-2449\right){x}-24162a+61154$
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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.