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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 78400cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.kb1 | 78400cg1 | \([0, -1, 0, 47, 57]\) | \(1280\) | \(-8780800\) | \([]\) | \(12288\) | \(0.020341\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400cg do not have complex multiplication.Modular form 78400.2.a.cg
sage: E.q_eigenform(10)