Properties

Label 25270.t
Number of curves $1$
Conductor $25270$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 25270.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25270.t1 25270n1 \([1, 0, 0, 908449, -668734375]\) \(1762396940073671/5127312834560\) \(-241218949464482447360\) \([]\) \(967680\) \(2.5944\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25270.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25270.t do not have complex multiplication.

Modular form 25270.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + q^{8} - 2 q^{9} - q^{10} + q^{12} - 4 q^{13} - q^{14} - q^{15} + q^{16} + 7 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display