Properties

Label 4600b
Number of curves $1$
Conductor $4600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4600b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.f1 4600b1 \([0, -1, 0, 92, 437]\) \(340736/575\) \(-143750000\) \([]\) \(768\) \(0.25030\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600b1 has rank \(1\).

Complex multiplication

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

Modular form 4600.2.a.b

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