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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 58835.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58835.m1 | 58835f1 | \([0, -1, 1, 22974, -5476029]\) | \(167936/1715\) | \(-13694146767942515\) | \([]\) | \(475272\) | \(1.7774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58835.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58835.m do not have complex multiplication.Modular form 58835.2.a.m
sage: E.q_eigenform(10)