Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 7942.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7942.i1 7942d1 \([1, 0, 1, 23818, 223624]\) \(31764658463/18833408\) \(-886034271592448\) \([]\) \(37440\) \(1.5575\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7942.i1 has rank \(2\).

Complex multiplication

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

Modular form 7942.2.a.i

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