Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 235950.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.a1 235950a1 \([1, 1, 0, -39780325, -96995585375]\) \(-402413512831225/1967766372\) \(-34043146110807539062500\) \([]\) \(55641600\) \(3.1718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950.a1 has rank \(0\).

Complex multiplication

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

Modular form 235950.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 5 q^{7} - q^{8} + q^{9} - q^{12} - q^{13} + 5 q^{14} + q^{16} - 5 q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display