Properties

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

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Show commands: SageMath
E = EllipticCurve("fu1")
 
E.isogeny_class()
 

Elliptic curves in class 303450.fu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.fu1 303450fu1 \([1, 0, 0, -3545458, 2578699652]\) \(-8167839927844585/34822545408\) \(-21013289813530828800\) \([]\) \(12939264\) \(2.5618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.fu1 has rank \(1\).

Complex multiplication

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

Modular form 303450.2.a.fu

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