Properties

Label 53900.p
Number of curves $1$
Conductor $53900$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 53900.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53900.p1 53900bb1 \([0, 0, 0, -245, -1575]\) \(-16595712/1331\) \(-130438000\) \([]\) \(13824\) \(0.30376\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53900.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 53900.p do not have complex multiplication.

Modular form 53900.2.a.p

sage: E.q_eigenform(10)
 
\(q - 3 q^{9} - q^{11} - q^{13} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display