Properties

Label 215950.a
Number of curves $1$
Conductor $215950$
CM no
Rank $1$

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

Elliptic curves in class 215950.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.a1 215950n1 \([1, 1, 0, -640, -8200]\) \(-232494925949/82959352\) \(-10369919000\) \([]\) \(136800\) \(0.63268\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 215950.a do not have complex multiplication.

Modular form 215950.2.a.a

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