Properties

Label 7935.k
Number of curves $1$
Conductor $7935$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 7935.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7935.k1 7935c1 \([0, -1, 1, 15694, 1051157]\) \(2887553024/4927635\) \(-729466827892515\) \([]\) \(50688\) \(1.5369\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7935.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7935.k do not have complex multiplication.

Modular form 7935.2.a.k

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - q^{5} - 2 q^{6} - 3 q^{7} + q^{9} - 2 q^{10} - 2 q^{11} - 2 q^{12} - 2 q^{13} - 6 q^{14} + q^{15} - 4 q^{16} - 5 q^{17} + 2 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display