Properties

Label 142296bk
Number of curves $1$
Conductor $142296$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 142296bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142296.be1 142296bk1 \([0, -1, 0, -7905, 230133]\) \(123904/21\) \(9260154672384\) \([]\) \(258048\) \(1.2088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142296bk1 has rank \(2\).

Complex multiplication

The elliptic curves in class 142296bk do not have complex multiplication.

Modular form 142296.2.a.bk

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