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-b8 150.1-b $12$
$24$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
150.1
\( 2 \cdot 3 \cdot 5^{2} \)
\( - 2^{3} \cdot 3 \cdot 5^{30} \)
$1.53203$
$(-a+2), (a+3), (-a-1), (-a+1)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B.1.1 $4$
\( 2^{4} \cdot 3^{3} \)
$1$
$0.335468070$
3.286902394
\( \frac{26673883482189453500771}{715255737304687500} a + \frac{5545867307448315927528}{59604644775390625} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -35919 a + 87939\) , \( -803878 a + 1968921\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-35919a+87939\right){x}-803878a+1968921$
150.1-e8 150.1-e $12$
$24$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
150.1
\( 2 \cdot 3 \cdot 5^{2} \)
\( - 2^{3} \cdot 3 \cdot 5^{30} \)
$1.53203$
$(-a+2), (a+3), (-a-1), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{2} \)
$7.525118545$
$0.624197618$
1.917607978
\( \frac{26673883482189453500771}{715255737304687500} a + \frac{5545867307448315927528}{59604644775390625} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1310 a - 1414\) , \( 25288 a + 58064\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-1310a-1414\right){x}+25288a+58064$
Download
displayed columns for
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.
