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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 56355.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56355.u1 | 56355d1 | \([0, -1, 1, -96, -3289]\) | \(-4096/195\) | \(-4706825955\) | \([]\) | \(57408\) | \(0.53602\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56355.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56355.u do not have complex multiplication.Modular form 56355.2.a.u
sage: E.q_eigenform(10)