Properties

Label 346560.fj
Number of curves $1$
Conductor $346560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fj1")
 
E.isogeny_class()
 

Elliptic curves in class 346560.fj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.fj1 346560fj1 \([0, -1, 0, 735, 15777]\) \(463391/1440\) \(-136272936960\) \([]\) \(276480\) \(0.81976\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560.fj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 346560.fj do not have complex multiplication.

Modular form 346560.2.a.fj

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 3 q^{7} + q^{9} - q^{11} + 2 q^{13} - q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display