Properties

Label 11466.bd
Number of curves $1$
Conductor $11466$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 11466.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11466.bd1 11466be1 \([1, -1, 0, -44313453, -114179112027]\) \(-112205650221491190337/745029571313664\) \(-63898296361865835577344\) \([]\) \(1827840\) \(3.2115\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11466.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11466.bd do not have complex multiplication.

Modular form 11466.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - q^{8} - 3 q^{10} - q^{11} + q^{13} + q^{16} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display