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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 249090u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.u1 | 249090u1 | \([1, 1, 0, -39619757, -479138769099]\) | \(-146196692087487804001/2023318905454755000\) | \(-95188820451074654614155000\) | \([]\) | \(78382080\) | \(3.6664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249090u do not have complex multiplication.Modular form 249090.2.a.u
sage: E.q_eigenform(10)