Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 19600l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.cn1 19600l1 \([0, 1, 0, -20008, 1004863]\) \(12544\) \(70618812250000\) \([]\) \(47040\) \(1.4008\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600l1 has rank \(0\).

Complex multiplication

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

Modular form 19600.2.a.l

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