Properties

Label 435344l
Number of curves $1$
Conductor $435344$
CM no
Rank $1$

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

Elliptic curves in class 435344l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.l1 435344l1 \([0, 1, 0, -28617, 542803]\) \(2097544192/1107197\) \(1368122481759488\) \([]\) \(1483776\) \(1.5959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344l1 has rank \(1\).

Complex multiplication

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

Modular form 435344.2.a.l

sage: E.q_eigenform(10)
 
\(q - 2q^{3} + 2q^{5} + q^{7} + q^{9} - q^{11} - 4q^{15} + 3q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display