Properties

Label 435344y
Number of curves $1$
Conductor $435344$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.y1 435344y1 \([0, 0, 0, -416, -2704]\) \(884736/161\) \(1448824832\) \([]\) \(158976\) \(0.47658\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435344y do not have complex multiplication.

Modular form 435344.2.a.y

sage: E.q_eigenform(10)
 
\(q - 2q^{5} + q^{7} - 3q^{9} + 3q^{11} - 3q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display