Properties

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

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Show commands: SageMath
E = EllipticCurve("gi1")
 
E.isogeny_class()
 

Elliptic curves in class 235950.gi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.gi1 235950gi1 \([1, 1, 1, 4168662, -1633392969]\) \(385226073849504061/278469750000000\) \(-5791300582031250000000\) \([]\) \(15966720\) \(2.8643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950.gi1 has rank \(0\).

Complex multiplication

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

Modular form 235950.2.a.gi

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