Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("cf1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.cf1 15680k1 \([0, 1, 0, 859, 30659]\) \(12459008/78125\) \(-439040000000\) \([]\) \(14336\) \(0.91581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.cf1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.cf

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2q^{9} - 3q^{11} - q^{13} - q^{15} - 5q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display