Properties

Label 331200k
Number of curves $1$
Conductor $331200$
CM no
Rank $0$

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

Elliptic curves in class 331200k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331200.k1 331200k1 \([0, 0, 0, -6195, -106180]\) \(22542399040/8869743\) \(10345668235200\) \([]\) \(774144\) \(1.1958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331200k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 331200k do not have complex multiplication.

Modular form 331200.2.a.k

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