Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.c1 15680bc1 \([0, 0, 0, 366422, 83755798]\) \(722603599520256/820654296875\) \(-6179146071875000000\) \([]\) \(506880\) \(2.2921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.c1 has rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3q^{3} - q^{5} + 6q^{9} + q^{11} - q^{13} + 3q^{15} + 3q^{17} - 8q^{19} + O(q^{20})\)  Toggle raw display