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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 76050.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76050.m1 | 76050bv1 | \([1, -1, 0, -8397, 215541]\) | \(125801065/34992\) | \(18214183681200\) | \([]\) | \(258048\) | \(1.2517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76050.m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 76050.m do not have complex multiplication.Modular form 76050.2.a.m
sage: E.q_eigenform(10)