Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4600.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.c1 4600d1 \([0, 1, 0, -88, 288]\) \(2977540/23\) \(588800\) \([]\) \(768\) \(-0.063904\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.c1 has rank \(1\).

Complex multiplication

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

Modular form 4600.2.a.c

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