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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 63525u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63525.e1 | 63525u1 | \([0, -1, 1, -932708, 300286568]\) | \(5186867200/754677\) | \(13056214265595703125\) | \([]\) | \(2419200\) | \(2.3931\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63525u do not have complex multiplication.Modular form 63525.2.a.u
sage: E.q_eigenform(10)