Properties

Label 9075.p
Number of curves $1$
Conductor $9075$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 9075.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9075.p1 9075p1 \([1, 0, 1, -440201, -131566327]\) \(-10241915/2187\) \(-2014387343834765625\) \([]\) \(110880\) \(2.2335\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9075.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9075.p do not have complex multiplication.

Modular form 9075.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} + q^{6} - q^{7} - 3 q^{8} + q^{9} - q^{12} + 2 q^{13} - q^{14} - q^{16} - 3 q^{17} + q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display