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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 270480.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.u1 | 270480u1 | \([0, -1, 0, -9816, -387120]\) | \(-21274016498/1078125\) | \(-5301408000000\) | \([]\) | \(488448\) | \(1.2022\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270480.u do not have complex multiplication.Modular form 270480.2.a.u
sage: E.q_eigenform(10)