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SageMath
E = EllipticCurve("il1")
E.isogeny_class()
Elliptic curves in class 476850.il
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.il1 | 476850il1 | \([1, 0, 0, -664255813, -17873188376383]\) | \(-85944135790429956649/316171526414008320\) | \(-119243938041460131102720000000\) | \([]\) | \(507617280\) | \(4.2650\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.il1 has rank \(1\).
Complex multiplication
The elliptic curves in class 476850.il do not have complex multiplication.Modular form 476850.2.a.il
sage: E.q_eigenform(10)