Properties

Label 4600.k
Number of curves $1$
Conductor $4600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4600.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.k1 4600l1 \([0, 1, 0, -108, 413]\) \(-562432/23\) \(-5750000\) \([]\) \(1024\) \(0.064600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4600.k do not have complex multiplication.

Modular form 4600.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{7} - 2 q^{9} - 2 q^{11} - 7 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display