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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 145794m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.be1 | 145794m1 | \([1, 1, 1, -7265447, -7518317731]\) | \(1781262272113/6133248\) | \(146040526295672329728\) | \([]\) | \(7796736\) | \(2.7324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145794m do not have complex multiplication.Modular form 145794.2.a.m
sage: E.q_eigenform(10)