Properties

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

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

Elliptic curves in class 56350s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56350.e1 56350s1 \([1, 0, 1, -1424701, -656702952]\) \(-811543975/2944\) \(-1160166201250000000\) \([]\) \(1317120\) \(2.3274\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56350s1 has rank \(1\).

Complex multiplication

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

Modular form 56350.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} - 2 q^{3} + q^{4} + 2 q^{6} - q^{8} + q^{9} - 2 q^{12} - 5 q^{13} + q^{16} - 7 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display