Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8280.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.d1 8280u1 \([0, 0, 0, -1683, -26757]\) \(-45198971136/359375\) \(-4191750000\) \([]\) \(4032\) \(0.67457\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8280.d1 has rank \(1\).

Complex multiplication

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

Modular form 8280.2.a.d

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