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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 464968.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
464968.a1 | 464968a1 | \([0, 0, 0, -3039259, -2069133953]\) | \(-4124632486295808/70140333767\) | \(-52797020731241019632\) | \([]\) | \(19160064\) | \(2.5830\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 464968.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 464968.a do not have complex multiplication.Modular form 464968.2.a.a
sage: E.q_eigenform(10)