Properties

Label 116380f
Number of curves $1$
Conductor $116380$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 116380f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116380.e1 116380f1 \([0, -1, 0, -331330, 185143025]\) \(-1698323056384/5261609375\) \(-12462512342381750000\) \([]\) \(1520640\) \(2.3507\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116380f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 116380f do not have complex multiplication.

Modular form 116380.2.a.f

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