Properties

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

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 15680.dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.dq1 15680z1 \([0, 0, 0, -28, 98]\) \(-110592/125\) \(-2744000\) \([]\) \(3840\) \(-0.070187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.dq1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.dq

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