Properties

Label 7942.s
Number of curves $1$
Conductor $7942$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 7942.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7942.s1 7942m1 \([1, 1, 1, -2715, 34013]\) \(130321/44\) \(747276773804\) \([]\) \(13680\) \(0.98063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7942.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7942.s do not have complex multiplication.

Modular form 7942.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{2} + 2 q^{3} + q^{4} + q^{5} + 2 q^{6} - 3 q^{7} + q^{8} + q^{9} + q^{10} - q^{11} + 2 q^{12} + 4 q^{13} - 3 q^{14} + 2 q^{15} + q^{16} - 4 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display