Properties

Label 156702.bb
Number of curves $1$
Conductor $156702$
CM no
Rank $1$

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

Elliptic curves in class 156702.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.bb1 156702cc1 \([1, 0, 1, 221454, -8577404]\) \(10209133395200375/6179378429952\) \(-726997692905422848\) \([]\) \(2480640\) \(2.1165\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 156702.bb do not have complex multiplication.

Modular form 156702.2.a.bb

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