Properties

Label 8280.t
Number of curves $1$
Conductor $8280$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("t1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8280.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.t1 8280m1 \([0, 0, 0, -2532, 1463204]\) \(-9619385344/4950372915\) \(-923858394888960\) \([]\) \(24576\) \(1.5507\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8280.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8280.t do not have complex multiplication.

Modular form 8280.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{7} + 2 q^{11} + 2 q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display