Properties

Label 397800.r
Number of curves $1$
Conductor $397800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 397800.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.r1 397800r1 \([0, 0, 0, -103575, -13336625]\) \(-674250071296/31416255\) \(-5725612473750000\) \([]\) \(2580480\) \(1.7869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.r1 has rank \(0\).

Complex multiplication

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

Modular form 397800.2.a.r

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - q^{11} - q^{13} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display