Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 6034.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6034.f1 | 6034e1 | \([1, -1, 1, -21219, 1262371]\) | \(-1056523745572249473/71239289311232\) | \(-71239289311232\) | \([]\) | \(38016\) | \(1.4098\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6034.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6034.f do not have complex multiplication.Modular form 6034.2.a.f
sage: E.q_eigenform(10)