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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 124950.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.u1 | 124950n1 | \([1, 1, 0, -10175, 61125]\) | \(152186997697/85660416\) | \(65583756000000\) | \([]\) | \(373248\) | \(1.3413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124950.u do not have complex multiplication.Modular form 124950.2.a.u
sage: E.q_eigenform(10)