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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 94192j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.x1 | 94192j1 | \([0, 1, 0, 5607, -211309]\) | \(128000/203\) | \(-30911778345728\) | \([]\) | \(215040\) | \(1.2737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94192j do not have complex multiplication.Modular form 94192.2.a.j
sage: E.q_eigenform(10)