Properties

Label 66270.b
Number of curves $1$
Conductor $66270$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 66270.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66270.b1 66270b1 \([1, 1, 0, -2126208, -619357248]\) \(44643518089/18895680\) \(449930453148904092480\) \([]\) \(3248640\) \(2.6597\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66270.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66270.b do not have complex multiplication.

Modular form 66270.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + 2 q^{7} - q^{8} + q^{9} + q^{10} + 5 q^{11} - q^{12} - 2 q^{13} - 2 q^{14} + q^{15} + q^{16} + 4 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display