Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.r1 435344r1 \([0, -1, 0, 958, 98383]\) \(1257728/55223\) \(-4264813974512\) \([]\) \(449280\) \(1.1032\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344.r1 has rank \(0\).

Complex multiplication

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

Modular form 435344.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2q^{5} - q^{7} - 2q^{9} - 2q^{11} - 2q^{15} - 6q^{19} + O(q^{20})\)  Toggle raw display