Properties

Label 142296.bf
Number of curves $1$
Conductor $142296$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 142296.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142296.bf1 142296dj1 \([0, -1, 0, -956545, -302480891]\) \(123904/21\) \(16404928871563271424\) \([]\) \(2838528\) \(2.4078\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142296.bf1 has rank \(1\).

Complex multiplication

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

Modular form 142296.2.a.bf

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