Properties

Label 25200.ds
Number of curves $1$
Conductor $25200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 25200.ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.ds1 25200el1 \([0, 0, 0, -906555, -332462230]\) \(-1103770289367265/891813888\) \(-66573550013644800\) \([]\) \(437760\) \(2.1577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200.ds1 has rank \(0\).

Complex multiplication

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

Modular form 25200.2.a.ds

sage: E.q_eigenform(10)
 
\(q + q^{7} - 2 q^{11} - 7 q^{13} - 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display