Properties

Label 90480j
Number of curves $1$
Conductor $90480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 90480j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90480.k1 90480j1 \([0, -1, 0, -265, 1765]\) \(-8069733376/73515\) \(-18819840\) \([]\) \(46080\) \(0.21859\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90480j1 has rank \(1\).

Complex multiplication

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

Modular form 90480.2.a.j

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