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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 76050.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76050.j1 | 76050bt1 | \([1, -1, 0, 455508, -1306513584]\) | \(304175/21632\) | \(-743334619511250000000\) | \([]\) | \(4233600\) | \(2.6844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76050.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76050.j do not have complex multiplication.Modular form 76050.2.a.j
sage: E.q_eigenform(10)