Properties

Label 15680.bb
Number of curves $1$
Conductor $15680$
CM no
Rank $1$

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

Elliptic curves in class 15680.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.bb1 15680ch1 \([0, -1, 0, 3659, -21139]\) \(8192/5\) \(-3305767485440\) \([]\) \(21504\) \(1.0914\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15680.bb do not have complex multiplication.

Modular form 15680.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2q^{9} - q^{11} - 5q^{13} + q^{15} - q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display