Properties

Label 450840.m
Number of curves $1$
Conductor $450840$
CM no
Rank $0$

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

Elliptic curves in class 450840.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.m1 450840m1 \([0, -1, 0, -14334496, 60413952220]\) \(-45601559816836/194308115625\) \(-1387976994219808886400000\) \([]\) \(60318720\) \(3.3176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450840.m do not have complex multiplication.

Modular form 450840.2.a.m

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