Properties

Label 303450.z
Number of curves $1$
Conductor $303450$
CM no
Rank $0$

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

Elliptic curves in class 303450.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
303450.z1 303450z1 [1, 1, 0, -9648415, 12238047685] [] 25380864 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303450.z do not have complex multiplication.

Modular form 303450.2.a.z

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} - 5q^{11} - q^{12} + 2q^{13} - q^{14} + q^{16} - q^{18} + 2q^{19} + O(q^{20}) \)