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SageMath
E = EllipticCurve("ll1")
E.isogeny_class()
Elliptic curves in class 310464ll
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.ll1 | 310464ll1 | \([0, 0, 0, 159348, 87486952]\) | \(137566156032/1096135733\) | \(-3565465975804271616\) | \([]\) | \(4128768\) | \(2.2413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464ll1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464ll do not have complex multiplication.Modular form 310464.2.a.ll
sage: E.q_eigenform(10)