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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 83391p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.q1 | 83391p1 | \([1, 0, 1, 752, 4079]\) | \(6869835701/4991679\) | \(-34237926261\) | \([]\) | \(57600\) | \(0.70972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83391p do not have complex multiplication.Modular form 83391.2.a.p
sage: E.q_eigenform(10)