Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 19600.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.v1 19600dz1 \([0, 1, 0, -1458, -22037]\) \(-160000\) \(-2143750000\) \([]\) \(11520\) \(0.62856\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600.v1 has rank \(0\).

Complex multiplication

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

Modular form 19600.2.a.v

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} + q^{11} + 2 q^{13} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display