Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("t1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9075.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9075.t1 9075m1 \([0, 1, 1, 11092, -81031]\) \(45056/27\) \(-90432652921875\) \([]\) \(31680\) \(1.3673\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9075.t1 has rank \(1\).

Complex multiplication

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

Modular form 9075.2.a.t

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