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
4800.1-a5
4800.1-a
$6$
$8$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
4800.1
\( 2^{6} \cdot 3 \cdot 5^{2} \)
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \)
$1.28828$
$(-2a+1), (2), (5)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$3.063150040$
1.768510500
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -15\) , \( 18\bigr] \)
${y}^2={x}^{3}+{x}^{2}-15{x}+18$
19200.1-c5
19200.1-c
$6$
$8$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
19200.1
\( 2^{8} \cdot 3 \cdot 5^{2} \)
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \)
$1.82190$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2 \)
$1$
$3.063150040$
1.768510500
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -15\) , \( -18\bigr] \)
${y}^2={x}^{3}-{x}^{2}-15{x}-18$
57600.1-h5
57600.1-h
$6$
$8$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
57600.1
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \)
$2.39775$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$1.768510500$
1.021050013
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 47 a - 46\) , \( -154 a + 100\bigr] \)
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(47a-46\right){x}-154a+100$
57600.1-i5
57600.1-i
$6$
$8$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
57600.1
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \)
$2.39775$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$1.768510500$
1.021050013
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -45 a\) , \( 108 a - 54\bigr] \)
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-45a{x}+108a-54$
120000.1-c5
120000.1-c
$6$
$8$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
120000.1
\( 2^{6} \cdot 3 \cdot 5^{4} \)
\( 2^{8} \cdot 3^{4} \cdot 5^{14} \)
$2.88068$
$(-2a+1), (2), (5)$
$2$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1.886796114$
$0.612630008$
5.338909986
\( \frac{24918016}{45} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -383\) , \( 3012\bigr] \)
${y}^2={x}^{3}-{x}^{2}-383{x}+3012$
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Pari/GP
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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.