Properties

Label 328560.l
Number of curves $1$
Conductor $328560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 328560.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
328560.l1 328560l1 \([0, -1, 0, -6297856, 4719848416]\) \(3840238658/885735\) \(6371586025715132282880\) \([]\) \(17816832\) \(2.8961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 328560.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 328560.l do not have complex multiplication.

Modular form 328560.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} + q^{9} + 2 q^{11} + 3 q^{13} + q^{15} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display