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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 23805u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23805.v1 | 23805u1 | \([0, 0, 1, -1587, -7803]\) | \(2166784/1125\) | \(229504600125\) | \([]\) | \(36864\) | \(0.87188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23805u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23805u do not have complex multiplication.Modular form 23805.2.a.u
sage: E.q_eigenform(10)