Properties

Label 79402i
Number of curves $1$
Conductor $79402$
CM no
Rank $1$

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

Elliptic curves in class 79402i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79402.f1 79402i1 \([1, -1, 1, -1626, 36813]\) \(-185193/116\) \(-297624263444\) \([]\) \(198720\) \(0.90323\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79402i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 79402i do not have complex multiplication.

Modular form 79402.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} + 3 q^{5} - 3 q^{6} - 2 q^{7} + q^{8} + 6 q^{9} + 3 q^{10} - q^{11} - 3 q^{12} - 3 q^{13} - 2 q^{14} - 9 q^{15} + q^{16} + 4 q^{17} + 6 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display