Properties

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

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.i1 15680dx1 \([0, 0, 0, 98, -686]\) \(13824/35\) \(-263533760\) \([]\) \(9216\) \(0.29960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.i1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.i

sage: E.q_eigenform(10)
 
\(q - 3q^{3} + q^{5} + 6q^{9} + 3q^{11} + q^{13} - 3q^{15} + q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display