Properties

Label 50400dr
Number of curves $1$
Conductor $50400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 50400dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50400.dr1 50400dr1 \([0, 0, 0, 1800, -54000]\) \(13824/35\) \(-1632960000000\) \([]\) \(64512\) \(1.0272\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50400dr1 has rank \(0\).

Complex multiplication

The elliptic curves in class 50400dr do not have complex multiplication.

Modular form 50400.2.a.dr

sage: E.q_eigenform(10)
 
\(q + q^{7} + 3 q^{11} - q^{13} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display