Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 56350v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56350.a1 56350v1 \([1, -1, 0, 383, 21181]\) \(2109375/67712\) \(-199156227200\) \([]\) \(145152\) \(0.84810\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56350v1 has rank \(1\).

Complex multiplication

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

Modular form 56350.2.a.v

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