Properties

Label 249696.s
Number of curves $1$
Conductor $249696$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 249696.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249696.s1 249696s1 \([0, 0, 0, 62424, 2122416]\) \(1536\) \(-17514077944393728\) \([]\) \(1327104\) \(1.8057\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249696.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 249696.s do not have complex multiplication.

Modular form 249696.2.a.s

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - q^{7} - 2 q^{11} + q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display