Properties

Label 274890.bf
Number of curves $1$
Conductor $274890$
CM no
Rank $1$

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

Elliptic curves in class 274890.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
274890.bf1 274890bf1 \([1, 1, 0, -140312, 24534336]\) \(-2596717791529849/718080000000\) \(-84481393920000000\) \([]\) \(4656960\) \(1.9637\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 274890.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 274890.bf do not have complex multiplication.

Modular form 274890.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{8} + q^{9} - q^{10} - q^{11} - q^{12} + 5 q^{13} - q^{15} + q^{16} - q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display