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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 29744u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29744.j1 | 29744u1 | \([0, 1, 0, -56, -428]\) | \(-28561/88\) | \(-60915712\) | \([]\) | \(12096\) | \(0.18041\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29744u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29744u do not have complex multiplication.Modular form 29744.2.a.u
sage: E.q_eigenform(10)