Properties

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

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Show commands: SageMath
E = EllipticCurve("it1")
 
E.isogeny_class()
 

Elliptic curves in class 235950.it

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.it1 235950it1 \([1, 0, 0, -63, 14367]\) \(-121/390\) \(-89218593750\) \([]\) \(322560\) \(0.78014\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950.it1 has rank \(1\).

Complex multiplication

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

Modular form 235950.2.a.it

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