Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 191634.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
191634.o1 191634k1 \([1, 1, 1, -1181778, 578691039]\) \(-38426275968625/8270512128\) \(-39285794734454734848\) \([]\) \(5483520\) \(2.4809\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 191634.o1 has rank \(1\).

Complex multiplication

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

Modular form 191634.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 4 q^{7} + q^{8} + q^{9} + q^{11} - q^{12} + 4 q^{14} + q^{16} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display