Properties

Label 435120dk
Number of curves $1$
Conductor $435120$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dk1")
 
E.isogeny_class()
 

Elliptic curves in class 435120dk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435120.dk1 435120dk1 \([0, -1, 0, 1160, -59408]\) \(357911/3330\) \(-1604694712320\) \([]\) \(725760\) \(1.0232\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435120dk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435120dk do not have complex multiplication.

Modular form 435120.2.a.dk

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