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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 132600.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132600.cc1 | 132600bq1 | \([0, 1, 0, -3536008, -4887434512]\) | \(-152796558778456322/233895263671875\) | \(-7484648437500000000000\) | \([]\) | \(7188480\) | \(2.8888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 132600.cc do not have complex multiplication.Modular form 132600.2.a.cc
sage: E.q_eigenform(10)