Properties

Label 277725.bs
Number of curves $1$
Conductor $277725$
CM no
Rank $0$

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

Elliptic curves in class 277725.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277725.bs1 277725bs1 \([0, 1, 1, -247192883, -1488717649981]\) \(2580674412544/14467005\) \(9364336638444002363203125\) \([]\) \(59351040\) \(3.6339\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277725.bs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 277725.bs do not have complex multiplication.

Modular form 277725.2.a.bs

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{7} + q^{9} - 3 q^{11} - 2 q^{12} + 6 q^{13} + 4 q^{16} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display