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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 476850u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.u1 | 476850u1 | \([1, 1, 0, -20432450, -35259583500]\) | \(346205269705/3345408\) | \(9115919823898800000000\) | \([]\) | \(44064000\) | \(3.0335\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850u do not have complex multiplication.Modular form 476850.2.a.u
sage: E.q_eigenform(10)