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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 224400.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.u1 | 224400hv1 | \([0, -1, 0, 3367, 185637]\) | \(1055028224/4377483\) | \(-17509932000000\) | \([]\) | \(491520\) | \(1.2238\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400.u do not have complex multiplication.Modular form 224400.2.a.u
sage: E.q_eigenform(10)