Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 118354n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118354.m1 118354n1 \([1, 1, 1, -43, 93]\) \(-2529625/68\) \(-236708\) \([]\) \(17280\) \(-0.18690\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118354n1 has rank \(1\).

Complex multiplication

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

Modular form 118354.2.a.n

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