Properties

Label 116380h
Number of curves $1$
Conductor $116380$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 116380h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116380.g1 116380h1 \([0, -1, 0, 515070, -64773503]\) \(524386048/366025\) \(-10548270446591913200\) \([]\) \(2331648\) \(2.3387\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116380h1 has rank \(0\).

Complex multiplication

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

Modular form 116380.2.a.h

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