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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 83391.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.j1 | 83391c1 | \([0, -1, 1, -308775, 54677765]\) | \(69203793903616/12699136989\) | \(597442087587192309\) | \([]\) | \(950400\) | \(2.1295\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83391.j do not have complex multiplication.Modular form 83391.2.a.j
sage: E.q_eigenform(10)