Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 348726.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.u1 | 348726u1 | \([1, 0, 1, -3065259, -2070322922]\) | \(-519504157729/1298304\) | \(-7959987846768069504\) | \([]\) | \(10571904\) | \(2.5043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348726.u do not have complex multiplication.Modular form 348726.2.a.u
sage: E.q_eigenform(10)