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Properties

Label 462462.bf
Number of curves $1$
Conductor $462462$
CM no
Rank $1$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 462462.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 462462.bf do not have complex multiplication.

Modular form 462462.2.a.bf

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

Elliptic curves in class 462462.bf

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462462.bf1 462462bf1 \([1, 1, 0, 2418, 13182]\) \(17999471/11154\) \(-968239578306\) \([]\) \(875520\) \(0.98901\) \(\Gamma_0(N)\)-optimal