Properties

Label 364560ey
Number of curves $1$
Conductor $364560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ey1")
 
E.isogeny_class()
 

Elliptic curves in class 364560ey

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364560.ey1 364560ey1 \([0, 1, 0, -8154186840, 293688883962900]\) \(-124427822010671478697670089/5317924709672681472000\) \(-2562656354993280215037247488000\) \([]\) \(826277760\) \(4.6010\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364560ey1 has rank \(1\).

Complex multiplication

The elliptic curves in class 364560ey do not have complex multiplication.

Modular form 364560.2.a.ey

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} - 5 q^{11} - 2 q^{13} + q^{15} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display