Properties

Label 397800a
Number of curves $1$
Conductor $397800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 397800a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.a1 397800a1 \([0, 0, 0, 2625, 1569375]\) \(11854080/6311981\) \(-1065146793750000\) \([]\) \(1996800\) \(1.5626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397800a do not have complex multiplication.

Modular form 397800.2.a.a

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