Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 190608.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190608.r1 190608da1 \([0, -1, 0, 11432, -1056032]\) \(9500/33\) \(-573908562281472\) \([]\) \(656640\) \(1.5150\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190608.r1 has rank \(0\).

Complex multiplication

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

Modular form 190608.2.a.r

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