Properties

Label 117117v
Number of curves $1$
Conductor $117117$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 117117v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117117.g1 117117v1 \([0, 0, 1, 2862015, 1962182992]\) \(736803680768000/899079608427\) \(-3163630762794829273947\) \([]\) \(8805888\) \(2.8116\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117117v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 117117v do not have complex multiplication.

Modular form 117117.2.a.v

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