Properties

Label 118354o
Number of curves $1$
Conductor $118354$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 118354o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118354.n1 118354o1 \([1, 1, 1, 3489630, 10948313263]\) \(111416568869159/1291777212416\) \(-54487852164990290886656\) \([]\) \(8017920\) \(3.0436\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118354o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 118354o do not have complex multiplication.

Modular form 118354.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} - 2 q^{9} + q^{10} + 2 q^{11} - q^{12} - 2 q^{13} - q^{14} - q^{15} + q^{16} - q^{17} - 2 q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display