Properties

Label 296208m
Number of curves $1$
Conductor $296208$
CM no
Rank $1$

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

Elliptic curves in class 296208m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296208.m1 296208m1 \([0, 0, 0, -1804049379, -29493745374654]\) \(-16768130355156114/410338673\) \(-15890105543948023953033216\) \([]\) \(146657280\) \(3.9454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296208m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 296208m do not have complex multiplication.

Modular form 296208.2.a.m

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