Properties

Label 50430i
Number of curves $1$
Conductor $50430$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 50430i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50430.i1 50430i1 \([1, 1, 0, -33921424347, 2404910084618781]\) \(-540598825531316542089721/60750000000000000\) \(-485084207669100750000000000000\) \([]\) \(228337200\) \(4.7244\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50430i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 50430i do not have complex multiplication.

Modular form 50430.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + 4 q^{7} - q^{8} + q^{9} - q^{10} - 4 q^{11} - q^{12} + q^{13} - 4 q^{14} - q^{15} + q^{16} - 7 q^{17} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display