Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 116610.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.d1 | 116610f1 | \([1, 1, 0, -3, 1773]\) | \(-28561/8048160\) | \(-1360139040\) | \([]\) | \(67200\) | \(0.43146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116610.d do not have complex multiplication.Modular form 116610.2.a.d
sage: E.q_eigenform(10)