Properties

Label 19600.be
Number of curves $1$
Conductor $19600$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 19600.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.be1 19600q1 \([0, -1, 0, 5367, -476363]\) \(12459008/78125\) \(-107187500000000\) \([]\) \(43008\) \(1.3740\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 19600.be do not have complex multiplication.

Modular form 19600.2.a.be

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