Properties

Label 54390.bb
Number of curves $1$
Conductor $54390$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 54390.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54390.bb1 54390bi1 \([1, 0, 1, -104904448, 412566099278]\) \(2605609534839039045974276809/7178421592800000000000\) \(351742658047200000000000\) \([]\) \(8781696\) \(3.3911\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54390.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54390.bb do not have complex multiplication.

Modular form 54390.2.a.bb

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