Properties

Label 62400.bx
Number of curves $1$
Conductor $62400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 62400.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.bx1 62400fm1 \([0, -1, 0, -333, -30213]\) \(-32768/3159\) \(-394875000000\) \([]\) \(57600\) \(0.90472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 62400.bx do not have complex multiplication.

Modular form 62400.2.a.bx

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} - q^{13} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display