Properties

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

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

Elliptic curves in class 9075.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9075.h1 9075r1 \([1, 0, 0, -3638, 98517]\) \(-10241915/2187\) \(-1137069140625\) \([]\) \(10080\) \(1.0346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9075.h1 has rank \(1\).

Complex multiplication

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

Modular form 9075.2.a.h

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