Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 50430t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50430.s1 50430t1 \([1, 1, 1, -3229236, 17512933749]\) \(-466393214209/16325867520\) \(-130360831447735092049920\) \([]\) \(9849840\) \(3.1157\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50430t1 has rank \(1\).

Complex multiplication

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

Modular form 50430.2.a.t

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