Properties

Label 48400y
Number of curves $1$
Conductor $48400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 48400y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.z1 48400y1 \([0, -1, 0, -388208, -98155088]\) \(-15092\) \(-428717762000000000\) \([]\) \(760320\) \(2.1355\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 48400y do not have complex multiplication.

Modular form 48400.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} - 2 q^{9} + 6 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display