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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 70560.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70560.u1 | 70560f1 | \([0, 0, 0, -168, 1008]\) | \(-96768/25\) | \(-135475200\) | \([]\) | \(18432\) | \(0.27753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560.u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 70560.u do not have complex multiplication.Modular form 70560.2.a.u
sage: E.q_eigenform(10)