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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 59850.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59850.p1 | 59850bc1 | \([1, -1, 0, -91602, 18727636]\) | \(-4664162897859145/5593978416768\) | \(-101950256645596800\) | \([]\) | \(580608\) | \(1.9574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59850.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59850.p do not have complex multiplication.Modular form 59850.2.a.p
sage: E.q_eigenform(10)