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
14400.1-b1 14400.1-b $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
14400.1
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{22} \cdot 3^{14} \cdot 5^{4} \)
$1.69547$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \)
$1$
$0.598137980$
1.381340496
\( \frac{8435734}{2025} a - \frac{2456854}{2025} \)
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -172 a + 128\) , \( 52 a - 700\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-172a+128\right){x}+52a-700$
19200.1-b1 19200.1-b $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
19200.1
\( 2^{8} \cdot 3 \cdot 5^{2} \)
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \)
$1.82190$
$(-2a+1), (2), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \)
$0.506476365$
$1.036005372$
2.423542006
\( \frac{8435734}{2025} a - \frac{2456854}{2025} \)
\( \bigl[0\) , \( a\) , \( 0\) , \( 58 a - 43\) , \( -159 a + 42\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(58a-43\right){x}-159a+42$
19200.1-h1 19200.1-h $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
19200.1
\( 2^{8} \cdot 3 \cdot 5^{2} \)
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \)
$1.82190$
$(-2a+1), (2), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{6} \)
$0.085973476$
$1.036005372$
3.291136107
\( \frac{8435734}{2025} a - \frac{2456854}{2025} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -15 a + 58\) , \( 159 a - 42\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-15a+58\right){x}+159a-42$
57600.1-n1 57600.1-n $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
57600.1
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{22} \cdot 3^{14} \cdot 5^{4} \)
$2.39775$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{4} \)
$1$
$0.598137980$
2.762680993
\( \frac{8435734}{2025} a - \frac{2456854}{2025} \)
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -172 a + 128\) , \( -52 a + 700\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-172a+128\right){x}-52a+700$
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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.
