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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 53900u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.g1 | 53900u1 | \([0, 1, 0, -93, 223]\) | \(40960/11\) | \(24147200\) | \([]\) | \(14976\) | \(0.12483\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 53900u do not have complex multiplication.Modular form 53900.2.a.u
sage: E.q_eigenform(10)