Properties

Label 118354.f
Number of curves $1$
Conductor $118354$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 118354.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118354.f1 118354h1 \([1, -1, 0, -1245110, -557465996]\) \(-1453888089/73984\) \(-10863103095718084864\) \([]\) \(2265600\) \(2.4131\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118354.f1 has rank \(1\).

Complex multiplication

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

Modular form 118354.2.a.f

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