Properties

Label 25200g
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 25200g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.cp1 25200g1 \([0, 0, 0, -211875, 49381250]\) \(-1947910950/823543\) \(-444713220000000000\) \([]\) \(295680\) \(2.0942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 25200.2.a.g

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