Properties

Label 45864r
Number of curves $1$
Conductor $45864$
CM no
Rank $0$

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

Elliptic curves in class 45864r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
45864.y1 45864r1 \([0, 0, 0, -7203, -246274]\) \(-235298/13\) \(-2283437205504\) \([]\) \(56160\) \(1.1292\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 45864r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 45864r do not have complex multiplication.

Modular form 45864.2.a.r

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