Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 190608.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190608.m1 190608bn1 \([0, -1, 0, -49596, 4267692]\) \(145990721706064/5845851\) \(540250166016\) \([]\) \(393984\) \(1.3342\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190608.m1 has rank \(1\).

Complex multiplication

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

Modular form 190608.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - q^{11} + 2 q^{13} + q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display