Properties

Label 190608.y
Number of curves $1$
Conductor $190608$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 190608.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190608.y1 190608bx1 \([0, -1, 0, 507, 45]\) \(512000/297\) \(-8344055808\) \([]\) \(124800\) \(0.59319\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190608.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 190608.y do not have complex multiplication.

Modular form 190608.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{7} + q^{9} - q^{11} - q^{13} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display