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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 33350m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33350.h1 | 33350m1 | \([1, -1, 1, -7980, 157647]\) | \(3596344921161/1411372000\) | \(22052687500000\) | \([]\) | \(190080\) | \(1.2590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33350m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33350m do not have complex multiplication.Modular form 33350.2.a.m
sage: E.q_eigenform(10)