Properties

Label 356928dm
Number of curves $1$
Conductor $356928$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dm1")
 
E.isogeny_class()
 

Elliptic curves in class 356928dm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
356928.dm1 356928dm1 \([0, -1, 0, 76163, 1102243]\) \(5537792/3267\) \(-28824556343723712\) \([]\) \(2426112\) \(1.8477\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 356928dm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 356928dm do not have complex multiplication.

Modular form 356928.2.a.dm

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} + q^{7} + q^{9} + q^{11} - 2 q^{15} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display