Properties

Label 1080.h
Number of curves $1$
Conductor $1080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 1080.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1080.h1 1080i1 \([0, 0, 0, 33, 151]\) \(1022208/3125\) \(-12150000\) \([]\) \(240\) \(0.042708\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1080.h1 has rank \(1\).

Complex multiplication

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

Modular form 1080.2.a.h

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