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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 83259p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83259.o1 | 83259p1 | \([0, 0, 1, 73167, 26346217]\) | \(118784/891\) | \(-324929554828274979\) | \([]\) | \(1224960\) | \(2.0417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83259p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83259p do not have complex multiplication.Modular form 83259.2.a.p
sage: E.q_eigenform(10)