Properties

Label 235950.gd
Number of curves $1$
Conductor $235950$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gd1")
 
E.isogeny_class()
 

Elliptic curves in class 235950.gd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.gd1 235950gd1 \([1, 1, 1, -1734213, -879788469]\) \(-305088363822419089/15974400000\) \(-30201600000000000\) \([]\) \(3916800\) \(2.2307\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950.gd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 235950.gd do not have complex multiplication.

Modular form 235950.2.a.gd

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