Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 116380.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116380.c1 116380d1 \([0, -1, 0, 974, 4985]\) \(524386048/366025\) \(-71254818800\) \([]\) \(101376\) \(0.77099\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116380.c1 has rank \(2\).

Complex multiplication

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

Modular form 116380.2.a.c

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