Properties

Label 15680.bt
Number of curves $1$
Conductor $15680$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("bt1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.bt1 15680dq1 \([0, -1, 0, -18195, -1633043]\) \(-88478050816/102942875\) \(-775112083256000\) \([]\) \(64512\) \(1.5511\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.bt1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.bt

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