Properties

Label 137280.bs
Number of curves $1$
Conductor $137280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 137280.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
137280.bs1 137280ds1 \([0, -1, 0, -1781, -46419]\) \(-38153936896/36196875\) \(-593049600000\) \([]\) \(215040\) \(0.95536\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 137280.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 137280.bs do not have complex multiplication.

Modular form 137280.2.a.bs

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 4 q^{7} + q^{9} - q^{11} + q^{13} + q^{15} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display