Properties

Label 81120bm
Number of curves $1$
Conductor $81120$
CM no
Rank $1$

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

Elliptic curves in class 81120bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
81120.o1 81120bm1 \([0, -1, 0, 3155, -468443]\) \(175616/4875\) \(-96381722112000\) \([]\) \(322560\) \(1.3634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 81120bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 81120bm do not have complex multiplication.

Modular form 81120.2.a.bm

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 5 q^{7} + q^{9} - q^{11} - q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display