Properties

Label 302330z
Number of curves $1$
Conductor $302330$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 302330z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.z1 302330z1 \([1, 1, 1, 1175, 23127]\) \(1524845951/2764160\) \(-325200659840\) \([]\) \(327936\) \(0.89374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 302330z do not have complex multiplication.

Modular form 302330.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{8} - 2 q^{9} + q^{10} + 4 q^{11} - q^{12} - q^{13} - q^{15} + q^{16} + 6 q^{17} - 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display