Properties

Label 90027a
Number of curves $1$
Conductor $90027$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 90027a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90027.b1 90027a1 \([1, -1, 0, 468, -5153]\) \(15531437375/24017203\) \(-17508540987\) \([]\) \(47040\) \(0.65078\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90027a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 90027a do not have complex multiplication.

Modular form 90027.2.a.a

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - q^{7} - 3 q^{8} - 6 q^{11} - 2 q^{13} - q^{14} - q^{16} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display