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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 58950.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58950.u1 | 58950i1 | \([1, -1, 0, -3717, -193559]\) | \(-498677257/1145988\) | \(-13053519562500\) | \([]\) | \(172032\) | \(1.2051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58950.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58950.u do not have complex multiplication.Modular form 58950.2.a.u
sage: E.q_eigenform(10)