Properties

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

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

Elliptic curves in class 53900.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53900.a1 53900bh1 \([0, 0, 0, -95323375, -363224566250]\) \(-8142048846461520/132632423693\) \(-1560407201505775700000000\) \([]\) \(19353600\) \(3.4424\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53900.a1 has rank \(0\).

Complex multiplication

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

Modular form 53900.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - q^{11} - 6 q^{13} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display