Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("ct1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.ct1 15680dl1 \([0, 1, 0, 75, 83]\) \(8192/5\) \(-28098560\) \([]\) \(3072\) \(0.11846\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.ct1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.ct

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