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SageMath
E = EllipticCurve("fe1")
E.isogeny_class()
Elliptic curves in class 59850fe
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59850.gg1 | 59850fe1 | \([1, -1, 1, -1852360430, 71196828307197]\) | \(-98735339854432038328225/250451215107692352768\) | \(-1782997420053786378592500000000\) | \([]\) | \(83865600\) | \(4.4924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59850fe1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59850fe do not have complex multiplication.Modular form 59850.2.a.fe
sage: E.q_eigenform(10)