Properties

Label 260100.bj
Number of curves $1$
Conductor $260100$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 260100.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
260100.bj1 260100bj1 \([0, 0, 0, -6589200, -6514146700]\) \(-11237785600/7803\) \(-21968613393792480000\) \([]\) \(7962624\) \(2.6482\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 260100.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 260100.bj do not have complex multiplication.

Modular form 260100.2.a.bj

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