Properties

Label 56350.s
Number of curves $1$
Conductor $56350$
CM no
Rank $0$

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

Elliptic curves in class 56350.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56350.s1 56350e1 \([1, 0, 1, -1179701, -1187617952]\) \(-158034076225/438790688\) \(-504133648950312500000\) \([]\) \(2304000\) \(2.6597\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56350.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56350.s do not have complex multiplication.

Modular form 56350.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} - 2 q^{9} - 5 q^{11} + q^{12} + 2 q^{13} + q^{16} - 5 q^{17} + 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display