Properties

Label 84966.bc
Number of curves $1$
Conductor $84966$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 84966.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.bc1 84966bb1 \([1, 1, 0, -7152611, 7360932237]\) \(-6964360655609/1179648\) \(-6854705615362719744\) \([]\) \(4439040\) \(2.6213\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84966.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 84966.bc do not have complex multiplication.

Modular form 84966.2.a.bc

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