Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 348075f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348075.f1 | 348075f1 | \([0, 0, 1, -3225, 1029406]\) | \(-325660672/40000779\) | \(-455633873296875\) | \([]\) | \(1907712\) | \(1.4922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348075f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348075f do not have complex multiplication.Modular form 348075.2.a.f
sage: E.q_eigenform(10)