Properties

Label 27200.bb
Number of curves $1$
Conductor $27200$
CM no
Rank $1$

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

Elliptic curves in class 27200.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27200.bb1 27200bk1 \([0, -1, 0, -28833, 2485537]\) \(-5177717/2176\) \(-1114112000000000\) \([]\) \(107520\) \(1.5951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27200.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 27200.bb do not have complex multiplication.

Modular form 27200.2.a.bb

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