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Properties

Label 431200bf
Number of curves $1$
Conductor $431200$
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 431200bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 431200bf do not have complex multiplication.

Modular form 431200.2.a.bf

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} + q^{11} + q^{13} - 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 431200bf

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
431200.bf1 431200bf1 \([0, 1, 0, -47693, -3319877]\) \(995883520/184877\) \(2227260843315200\) \([]\) \(1843200\) \(1.6631\) \(\Gamma_0(N)\)-optimal