Properties

Label 303450cf
Number of curves $1$
Conductor $303450$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("cf1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 303450cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.cf1 303450cf1 \([1, 0, 1, 13098774, 7799200348]\) \(2280364702703/1560674304\) \(-170107584204773376000000\) \([]\) \(44945280\) \(3.1462\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450cf1 has rank \(1\).

Complex multiplication

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

Modular form 303450.2.a.cf

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