Properties

Label 69828.m
Number of curves $1$
Conductor $69828$
CM no
Rank $0$

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

Elliptic curves in class 69828.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69828.m1 69828l1 \([0, -1, 0, 28390, 4043049]\) \(87808/297\) \(-8559077447272176\) \([]\) \(397440\) \(1.7402\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69828.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69828.m do not have complex multiplication.

Modular form 69828.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} + q^{11} - 4 q^{13} - q^{15} + 8 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display