Properties

Label 15680a
Number of curves $1$
Conductor $15680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 15680a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.df1 15680a1 \([0, -1, 0, -3201, -82879]\) \(-19208/5\) \(-944504995840\) \([]\) \(18816\) \(1.0148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680a1 has rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.a

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