Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4600.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.d1 4600f1 \([0, 1, 0, -5208, 141088]\) \(1562500/23\) \(230000000000\) \([]\) \(7680\) \(0.98332\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.d1 has rank \(0\).

Complex multiplication

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

Modular form 4600.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 3 q^{7} + q^{9} + 5 q^{11} + 5 q^{13} + 4 q^{17} + q^{19} + O(q^{20})\)  Toggle raw display