Properties

Label 346560m
Number of curves $1$
Conductor $346560$
CM no
Rank $0$

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

Elliptic curves in class 346560m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.m1 346560m1 \([0, -1, 0, -481, -6719]\) \(-1042568/1125\) \(-13307904000\) \([]\) \(248832\) \(0.63752\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 346560m do not have complex multiplication.

Modular form 346560.2.a.m

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