Properties

Label 1080g
Number of curves $1$
Conductor $1080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 1080g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1080.f1 1080g1 \([0, 0, 0, -123, 822]\) \(-3721734/3125\) \(-172800000\) \([]\) \(240\) \(0.27839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1080g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1080g do not have complex multiplication.

Modular form 1080.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} - q^{11} + q^{13} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display