Properties

Label 115542cg
Number of curves $1$
Conductor $115542$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 115542cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115542.bh1 115542cg1 \([1, -1, 1, -7286, 535497]\) \(-498677257/1145988\) \(-98286945472548\) \([]\) \(483840\) \(1.3733\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115542cg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 115542cg do not have complex multiplication.

Modular form 115542.2.a.cg

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{5} + q^{8} - 2 q^{10} - 3 q^{11} + 5 q^{13} + q^{16} + 7 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display