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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 83391o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.n1 | 83391o1 | \([0, 1, 1, -406967, 99775904]\) | \(438908059648/83853\) | \(1424122711676973\) | \([]\) | \(574560\) | \(1.9085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83391o do not have complex multiplication.Modular form 83391.2.a.o
sage: E.q_eigenform(10)