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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 58443m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.a1 | 58443m1 | \([0, -1, 1, -19642, 29963130]\) | \(-473093337088/218558899251\) | \(-387190422116000811\) | \([]\) | \(921600\) | \(2.0539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 58443m do not have complex multiplication.Modular form 58443.2.a.m
sage: E.q_eigenform(10)