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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 25392.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25392.u1 | 25392bb1 | \([0, 1, 0, 1026084, -31601304]\) | \(11265584/6561\) | \(-69580631058624278784\) | \([]\) | \(529920\) | \(2.4969\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25392.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25392.u do not have complex multiplication.Modular form 25392.2.a.u
sage: E.q_eigenform(10)