Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 56350.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56350.l1 56350m1 \([1, -1, 0, 1127383, -110785459]\) \(137927116575/84410368\) \(-96980423680000000000\) \([]\) \(1751040\) \(2.5243\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56350.l1 has rank \(1\).

Complex multiplication

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

Modular form 56350.2.a.l

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