Properties

Label 91630bm
Number of curves $1$
Conductor $91630$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 91630bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91630.bk1 91630bm1 \([1, 1, 1, 244, 1959]\) \(13651919/20570\) \(-2420039930\) \([]\) \(36864\) \(0.48596\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91630bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91630bm do not have complex multiplication.

Modular form 91630.2.a.bm

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