Properties

Label 4200be
Number of curves $1$
Conductor $4200$
CM no
Rank $0$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4200be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4200.p1 4200be1 [0, 1, 0, -308, -2187] [] 1344 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4200be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4200be do not have complex multiplication.

Modular form 4200.2.a.be

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