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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 33135.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33135.c1 | 33135c1 | \([1, 1, 1, -265126, -4395165052]\) | \(-191202526081/774039398625\) | \(-8343537350908541522625\) | \([]\) | \(3179520\) | \(2.8853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33135.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33135.c do not have complex multiplication.Modular form 33135.2.a.c
sage: E.q_eigenform(10)