Properties

Label 116610.d
Number of curves $1$
Conductor $116610$
CM no
Rank $0$

Related objects

Downloads

Learn more

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)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - 5 q^{11} - q^{12} + q^{15} + q^{16} + 8 q^{17} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display