Properties

Label 19600f
Number of curves $1$
Conductor $19600$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 19600f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.eb1 19600f1 \([0, 0, 0, -8575, 300125]\) \(48384\) \(1441200250000\) \([]\) \(47040\) \(1.1233\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600f1 has rank \(1\).

Complex multiplication

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

Modular form 19600.2.a.f

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