Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 344760.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.u1 | 344760u1 | \([0, -1, 0, 54700, 13974297]\) | \(234367644416/1230836295\) | \(-95056187299722480\) | \([]\) | \(2903040\) | \(1.9399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760.u do not have complex multiplication.Modular form 344760.2.a.u
sage: E.q_eigenform(10)