Properties

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

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Show commands: SageMath
E = EllipticCurve("gz1")
 
E.isogeny_class()
 

Elliptic curves in class 430950gz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.gz1 430950gz1 \([1, 0, 0, -452349713, -1006630154583]\) \(4752182606640001/2546899200000\) \(5486120040678509700000000000\) \([]\) \(355829760\) \(4.0139\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950gz1 has rank \(1\).

Complex multiplication

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

Modular form 430950.2.a.gz

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