Properties

Label 117045.c
Number of curves $1$
Conductor $117045$
CM no
Rank $0$

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

Elliptic curves in class 117045.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117045.c1 117045r1 \([0, 0, 1, -867, -8598]\) \(36864/5\) \(9775715445\) \([]\) \(118272\) \(0.64411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117045.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 117045.c do not have complex multiplication.

Modular form 117045.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - 2 q^{10} + 5 q^{11} + 4 q^{13} - 4 q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display