Properties

Label 303450q
Number of curves $1$
Conductor $303450$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 303450q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
303450.q1 303450q1 [1, 1, 0, -150, 900] [] 124416 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450q1 has rank \(2\).

Complex multiplication

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

Modular form 303450.2.a.q

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