Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 328560.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
328560.i1 328560i1 \([0, -1, 0, 18784, 1870080]\) \(3532642667/9375000\) \(-1945075200000000\) \([]\) \(1492992\) \(1.6173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 328560.i1 has rank \(1\).

Complex multiplication

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

Modular form 328560.2.a.i

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