Properties

Label 418950.ny
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ny1")
 
E.isogeny_class()
 

Elliptic curves in class 418950.ny

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.ny1 418950ny1 \([1, -1, 1, -90765661055, -24420330578046553]\) \(-98735339854432038328225/250451215107692352768\) \(-209767863471907913655029032500000000\) \([]\) \(4025548800\) \(5.4654\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950.ny1 has rank \(1\).

Complex multiplication

The elliptic curves in class 418950.ny do not have complex multiplication.

Modular form 418950.2.a.ny

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} + 2 q^{11} - 3 q^{13} + q^{16} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display