Properties

Label 90480.h
Number of curves $1$
Conductor $90480$
CM no
Rank $0$

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

Elliptic curves in class 90480.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90480.h1 90480a1 \([0, -1, 0, -733281, -241453875]\) \(-170331760649820857344/8871071590875\) \(-2270994327264000\) \([]\) \(1044480\) \(2.0154\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90480.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 90480.h do not have complex multiplication.

Modular form 90480.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} - 3 q^{11} - q^{13} + q^{15} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display