Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 4600.f

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 4600.f1 has rank \(1\).

Complex multiplication

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

Modular form 4600.2.a.f

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