Properties

Label 4600h
Number of curves $1$
Conductor $4600$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4600h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.h1 4600h1 \([0, 0, 0, 36700, -355500]\) \(1366664500224/804542875\) \(-3218171500000000\) \([]\) \(17280\) \(1.6650\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600h1 has rank \(0\).

Complex multiplication

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

Modular form 4600.2.a.h

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