Properties

Label 430950t
Number of curves $1$
Conductor $430950$
CM no
Rank $1$

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

Elliptic curves in class 430950t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.t1 430950t1 \([1, 1, 0, -991240, -429636800]\) \(-5098754905446847541/816843141439488\) \(-17255811362909184000\) \([]\) \(14676480\) \(2.4192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 430950t do not have complex multiplication.

Modular form 430950.2.a.t

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