Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 104907.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104907.f1 | 104907bi1 | \([0, 1, 1, 128220, -3287410]\) | \(45056/27\) | \(-139700761584307803\) | \([]\) | \(1951488\) | \(1.9791\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104907.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 104907.f do not have complex multiplication.Modular form 104907.2.a.f
sage: E.q_eigenform(10)