Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 15680.dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.dl1 15680bi1 \([0, -1, 0, -47105, 4592897]\) \(-15298178/3125\) \(-2361262489600000\) \([]\) \(80640\) \(1.6721\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.dl1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.dl

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