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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 92575.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92575.j1 | 92575y1 | \([0, -1, 1, -181623, -29734527]\) | \(-35806478336/3703\) | \(-68522112120875\) | \([]\) | \(287232\) | \(1.6874\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92575.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92575.j do not have complex multiplication.Modular form 92575.2.a.j
sage: E.q_eigenform(10)