Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8280.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.i1 8280s1 \([0, 0, 0, 132, -3292]\) \(1362944/25875\) \(-4828896000\) \([]\) \(3072\) \(0.53857\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8280.i1 has rank \(1\).

Complex multiplication

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

Modular form 8280.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 4 q^{13} + q^{17} + O(q^{20})\) Copy content Toggle raw display