Properties

Label 2646.bb
Number of curves $1$
Conductor $2646$
CM no
Rank $0$

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

Elliptic curves in class 2646.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.bb1 2646ba1 \([1, -1, 1, -393014, 96173893]\) \(-134162931/2048\) \(-102481188730066944\) \([]\) \(41580\) \(2.0666\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2646.bb do not have complex multiplication.

Modular form 2646.2.a.bb

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