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
14400.2-a2 14400.2-a $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
14400.2
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \)
$1.95776$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{5} \)
$0.258929880$
$2.772315553$
2.871341340
\( \frac{438976}{225} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -6\) , \( 0\bigr] \) ${y}^2={x}^{3}+{x}^{2}-6{x}$
57600.2-z2 57600.2-z $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
57600.2
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \)
$2.76869$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{4} \)
$0.886301551$
$2.772315553$
4.914215150
\( \frac{438976}{225} \)
\( \bigl[0\) , \( i\) , \( 0\) , \( 6\) , \( 0\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+6{x}$
72000.2-d2 72000.2-d $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
72000.2
\( 2^{6} \cdot 3^{2} \cdot 5^{3} \)
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \)
$2.92753$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2Cs $1$
\( 2^{5} \)
$0.959075051$
$1.239817206$
4.756311005
\( \frac{438976}{225} \)
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 26 i + 19\) , \( 19 i - 25\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(26i+19\right){x}+19i-25$
72000.3-c2 72000.3-c $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
72000.3
\( 2^{6} \cdot 3^{2} \cdot 5^{3} \)
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \)
$2.92753$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2Cs $1$
\( 2^{5} \)
$0.959075051$
$1.239817206$
4.756311005
\( \frac{438976}{225} \)
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -26 i + 19\) , \( 19 i + 25\bigr] \) ${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-26i+19\right){x}+19i+25$
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Pari/GP
SageMath
Magma
Oscar
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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.
