Properties

Label 4600.b
Number of curves $1$
Conductor $4600$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 4600.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.b1 4600g1 \([0, 1, 0, 7, 43]\) \(1024/23\) \(-736000\) \([]\) \(704\) \(-0.19399\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.b1 has rank \(2\).

Complex multiplication

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

Modular form 4600.2.a.b

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