Properties

Label 7942.c
Number of curves $1$
Conductor $7942$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 7942.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7942.c1 7942e1 \([1, 0, 1, -8, -6]\) \(130321/44\) \(15884\) \([]\) \(720\) \(-0.49159\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7942.c1 has rank \(2\).

Complex multiplication

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

Modular form 7942.2.a.c

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