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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 12138.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12138.c1 | 12138f1 | \([1, 1, 0, 18856, 3301824]\) | \(150900148890919/1041386274432\) | \(-5116330766284416\) | \([]\) | \(85120\) | \(1.6959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12138.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12138.c do not have complex multiplication.Modular form 12138.2.a.c
sage: E.q_eigenform(10)