Show commands:
SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 59850fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59850.gh1 | 59850fo1 | \([1, -1, 1, 1570, -113043]\) | \(23497109375/314399232\) | \(-5729926003200\) | \([]\) | \(138240\) | \(1.1288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59850fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59850fo do not have complex multiplication.Modular form 59850.2.a.fo
sage: E.q_eigenform(10)