Properties

Label 346560k
Number of curves $1$
Conductor $346560$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 346560k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.k1 346560k1 \([0, -1, 0, 100599, -50694615]\) \(1618496/16875\) \(-1173903877393920000\) \([]\) \(4202496\) \(2.1483\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560k1 has rank \(2\).

Complex multiplication

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

Modular form 346560.2.a.k

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