Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 435120.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435120.e1 435120e1 \([0, -1, 0, 86224, -3676224]\) \(353221512666239/233046720000\) \(-46773408890880000\) \([]\) \(4105728\) \(1.8875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435120.e1 has rank \(0\).

Complex multiplication

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

Modular form 435120.2.a.e

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