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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 32368.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32368.m1 | 32368bb1 | \([0, -1, 0, -1030092, -376286852]\) | \(234219472/16807\) | \(8673999228120663808\) | \([]\) | \(587520\) | \(2.3807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32368.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32368.m do not have complex multiplication.Modular form 32368.2.a.m
sage: E.q_eigenform(10)