Properties

Label 9702f
Number of curves $1$
Conductor $9702$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 9702f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.f1 9702f1 \([1, -1, 0, -11964633, 15936473069]\) \(-34068278205171/10307264\) \(-57307978910298650688\) \([]\) \(423360\) \(2.7688\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9702f do not have complex multiplication.

Modular form 9702.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - q^{8} + 2 q^{10} - q^{11} - 2 q^{13} + q^{16} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display