Properties

Label 118354q
Number of curves $1$
Conductor $118354$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 118354q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118354.p1 118354q1 \([1, -1, 1, -358, 2805]\) \(-1453888089/73984\) \(-257538304\) \([]\) \(38400\) \(0.37433\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118354q1 has rank \(2\).

Complex multiplication

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

Modular form 118354.2.a.q

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