Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 286650u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.u1 | 286650u1 | \([1, -1, 0, -1053117, 792921541]\) | \(-78683185/119808\) | \(-196678868677200000000\) | \([]\) | \(11289600\) | \(2.5856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286650u do not have complex multiplication.Modular form 286650.2.a.u
sage: E.q_eigenform(10)