Properties

Label 444675.bf
Number of curves $1$
Conductor $444675$
CM no
Rank $0$

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

Elliptic curves in class 444675.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444675.bf1 444675bf1 \([0, 1, 1, -45999158, 197872171844]\) \(-1376628736/1366875\) \(-10687726644105447685546875\) \([]\) \(121927680\) \(3.4984\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 444675.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 444675.bf do not have complex multiplication.

Modular form 444675.2.a.bf

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - 2 q^{6} + q^{9} + 2 q^{12} + 3 q^{13} - 4 q^{16} + 4 q^{17} - 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display