Properties

Label 115920.m
Number of curves $1$
Conductor $115920$
CM no
Rank $0$

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

Elliptic curves in class 115920.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.m1 115920db1 \([0, 0, 0, 920067, 218177507]\) \(7384729019637956864/6036585758984375\) \(-70410736292793750000\) \([]\) \(3225600\) \(2.4962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 115920.m do not have complex multiplication.

Modular form 115920.2.a.m

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