Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("dl1")
 
sage: 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)
 
\(q + 2q^{3} + q^{5} + q^{9} + q^{11} + 3q^{13} + 2q^{15} - 2q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display