Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 25200.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.g1 25200ed1 \([0, 0, 0, -646875, 216506250]\) \(-1026590625/100352\) \(-2926264320000000000\) \([]\) \(443520\) \(2.2843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200.g1 has rank \(1\).

Complex multiplication

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

Modular form 25200.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{7} - 5 q^{11} + 6 q^{13} - q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display