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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 331200c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.c1 | 331200c1 | \([0, 0, 0, -31500, -3790000]\) | \(-10001880/12167\) | \(-4204915200000000\) | \([]\) | \(2211840\) | \(1.6916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331200c do not have complex multiplication.Modular form 331200.2.a.c
sage: E.q_eigenform(10)