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
1600.1-a2
1600.1-a
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
1600.1
\( 2^{6} \cdot 5^{2} \)
\( 2^{16} \cdot 5^{4} \)
$0.97888$
$(2), (5)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$0.341880646$
$2.996888981$
1.183081163
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -7\) , \( -6\bigr] \)
${y}^2={x}^{3}-7{x}-6$
6400.1-g2
6400.1-g
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
6400.1
\( 2^{8} \cdot 5^{2} \)
\( 2^{16} \cdot 5^{4} \)
$1.38434$
$(2), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1$
$2.996888981$
1.730254660
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -7\) , \( 6\bigr] \)
${y}^2={x}^{3}-7{x}+6$
40000.1-c2
40000.1-c
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
40000.1
\( 2^{6} \cdot 5^{4} \)
\( 2^{16} \cdot 5^{16} \)
$2.18884$
$(2), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$4$
\( 2^{4} \)
$1$
$0.599377796$
2.768407456
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -175\) , \( -750\bigr] \)
${y}^2={x}^{3}-175{x}-750$
57600.1-b2
57600.1-b
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
57600.1
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{16} \cdot 3^{6} \cdot 5^{4} \)
$2.39775$
$(-2a+1), (2), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2^{4} \)
$1$
$1.730254660$
1.997925987
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21 a\) , \( 36 a - 18\bigr] \)
${y}^2={x}^{3}-21a{x}+36a-18$
57600.1-q2
57600.1-q
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
57600.1
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{16} \cdot 3^{6} \cdot 5^{4} \)
$2.39775$
$(-2a+1), (2), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2^{4} \)
$1$
$1.730254660$
1.997925987
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 21\) , \( -36 a + 18\bigr] \)
${y}^2={x}^{3}+21{x}-36a+18$
102400.1-g2
102400.1-g
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
102400.1
\( 2^{12} \cdot 5^{2} \)
\( 2^{28} \cdot 5^{4} \)
$2.76869$
$(2), (5)$
$2$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1.445937690$
$1.498444490$
5.003680854
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 28 a\) , \( -48\bigr] \)
${y}^2={x}^{3}+28a{x}-48$
102400.1-n2
102400.1-n
$4$
$4$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
102400.1
\( 2^{12} \cdot 5^{2} \)
\( 2^{28} \cdot 5^{4} \)
$2.76869$
$(2), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$4$
\( 2^{3} \)
$1$
$1.498444490$
3.460509320
\( \frac{148176}{25} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -28\) , \( 48\bigr] \)
${y}^2={x}^{3}-28{x}+48$
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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.