Properties

Label 191634.q
Number of curves $1$
Conductor $191634$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 191634.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
191634.q1 191634b1 \([1, 0, 0, -529550, -148745574]\) \(-3457335616561/10222038\) \(-48555746055463158\) \([]\) \(5376000\) \(2.0719\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 191634.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 191634.q do not have complex multiplication.

Modular form 191634.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 4 q^{5} + q^{6} + q^{8} + q^{9} - 4 q^{10} - 3 q^{11} + q^{12} + 4 q^{13} - 4 q^{15} + q^{16} + 8 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display