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SageMath
E = EllipticCurve("jm1")
E.isogeny_class()
Elliptic curves in class 463680.jm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
463680.jm1 | 463680jm1 | \([0, 0, 0, -40512, -3142816]\) | \(-615640662016/978075\) | \(-11682065203200\) | \([]\) | \(1351680\) | \(1.4054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 463680.jm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 463680.jm do not have complex multiplication.Modular form 463680.2.a.jm
sage: E.q_eigenform(10)