Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("dt1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.dt1 15680dw1 \([0, 0, 0, -80752, 9099104]\) \(-30211716096/1071875\) \(-2066104678400000\) \([]\) \(184320\) \(1.7110\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.dt1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.dt

sage: E.q_eigenform(10)
 
\(q + 3q^{3} + q^{5} + 6q^{9} - 5q^{11} - 5q^{13} + 3q^{15} + 7q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display