Properties

Label 428400mr
Number of curves 1
Conductor 428400
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("428400.mr1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 428400mr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
428400.mr1 428400mr1 [0, 0, 0, -17135464800, 863500557278000] [] 580608000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 428400mr1 has rank \(1\).

Modular form 428400.2.a.mr

sage: E.q_eigenform(10)
 
\( q + q^{7} + 2q^{11} + 5q^{13} + q^{17} - 2q^{19} + O(q^{20}) \)