Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 650.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
650.i1 | 650k1 | \([1, 1, 1, 12, 181]\) | \(304175/21632\) | \(-13520000\) | \([]\) | \(168\) | \(0.047865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 650.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 650.i do not have complex multiplication.Modular form 650.2.a.i
sage: E.q_eigenform(10)