Properties

Label 247032k
Number of curves $1$
Conductor $247032$
CM no
Rank $0$

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

Elliptic curves in class 247032k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
247032.k1 247032k1 \([0, 0, 0, -711, -7398]\) \(-212992848/3431\) \(-640306944\) \([]\) \(197120\) \(0.49036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 247032k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 247032k do not have complex multiplication.

Modular form 247032.2.a.k

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - 4 q^{7} + 4 q^{11} - 5 q^{13} + 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display