Properties

Label 35728m
Number of curves $1$
Conductor $35728$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 35728m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35728.g1 35728m1 \([0, -1, 0, -19024, -992005]\) \(47591793317892352/630767231017\) \(10092275696272\) \([]\) \(77440\) \(1.3025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35728m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35728m do not have complex multiplication.

Modular form 35728.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{7} - 2 q^{9} - q^{11} - q^{13} + 2 q^{15} + 8 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display