Properties

Label 48300.s
Number of curves $1$
Conductor $48300$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 48300.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48300.s1 48300r1 \([0, 1, 0, -28133, -1828137]\) \(-615640662016/978075\) \(-3912300000000\) \([]\) \(126720\) \(1.3142\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48300.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 48300.s do not have complex multiplication.

Modular form 48300.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} - q^{11} - 4 q^{13} - 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display