Properties

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

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Show commands: SageMath
E = EllipticCurve("fu1")
 
E.isogeny_class()
 

Elliptic curves in class 25200fu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.di1 25200fu1 \([0, 0, 0, -1125, 16875]\) \(-34560/7\) \(-31893750000\) \([]\) \(23040\) \(0.73795\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200fu1 has rank \(1\).

Complex multiplication

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

Modular form 25200.2.a.fu

sage: E.q_eigenform(10)
 
\(q + q^{7} - 5 q^{11} + 6 q^{13} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display