Properties

Label 130050fc
Number of curves $1$
Conductor $130050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fc1")
 
E.isogeny_class()
 

Elliptic curves in class 130050fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
130050.bj1 130050fc1 \([1, -1, 0, -3155067, -5108673659]\) \(-43713001/116640\) \(-9268008775506202500000\) \([]\) \(7050240\) \(2.9026\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 130050fc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 130050fc do not have complex multiplication.

Modular form 130050.2.a.fc

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