Properties

Label 25200s
Number of curves $1$
Conductor $25200$
CM no
Rank $1$

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

Elliptic curves in class 25200s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.fo1 25200s1 \([0, 0, 0, -8475, 395050]\) \(-1947910950/823543\) \(-28461646080000\) \([]\) \(59136\) \(1.2894\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25200s do not have complex multiplication.

Modular form 25200.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{7} + 4 q^{11} + q^{13} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display