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
6084.2-b2 6084.2-b $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
6084.2
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \)
\( 2^{4} \cdot 3^{2} \cdot 13^{12} \)
$1.57840$
$(a+1), (-3a-2), (2a+3), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{2} \cdot 3^{2} \)
$0.221906572$
$0.627651774$
2.507040972
\( \frac{181037698000}{14480427} \)
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i + 187\) , \( 945 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+187\right){x}+945i$
54756.2-c2 54756.2-c $4$
$6$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
54756.2
\( 2^{2} \cdot 3^{4} \cdot 13^{2} \)
\( 2^{4} \cdot 3^{14} \cdot 13^{12} \)
$2.73386$
$(a+1), (-3a-2), (2a+3), (3)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{4} \cdot 3^{3} \)
$1$
$0.209217258$
2.510607098
\( \frac{181037698000}{14480427} \)
\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 1683\) , \( 25528 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+1683\right){x}+25528i$
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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.
