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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 79350u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.g1 | 79350u1 | \([1, 1, 0, -740875, -253710275]\) | \(-257139080970025/9795520512\) | \(-1713242659749120000\) | \([]\) | \(1685376\) | \(2.2686\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350u do not have complex multiplication.Modular form 79350.2.a.u
sage: E.q_eigenform(10)