Properties

Label 348480.px
Number of curves $1$
Conductor $348480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("px1")
 
E.isogeny_class()
 

Elliptic curves in class 348480.px

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348480.px1 348480px1 \([0, 0, 0, -6732, 460944]\) \(-1459161/3125\) \(-72260812800000\) \([]\) \(860160\) \(1.3482\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348480.px1 has rank \(1\).

Complex multiplication

The elliptic curves in class 348480.px do not have complex multiplication.

Modular form 348480.2.a.px

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{7} - 4 q^{13} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display