Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 4600.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.i1 4600a1 \([0, 1, 0, -8, 113]\) \(-256/23\) \(-5750000\) \([]\) \(640\) \(-0.023342\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.i1 has rank \(1\).

Complex multiplication

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

Modular form 4600.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{7} - 2 q^{9} - 4 q^{11} + 5 q^{13} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display