Properties

Label 200400.c
Number of curves $1$
Conductor $200400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 200400.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.c1 200400z1 \([0, -1, 0, 210792, -20963088]\) \(129477420379/98500608\) \(-788004864000000000\) \([]\) \(2826240\) \(2.1221\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 200400.c do not have complex multiplication.

Modular form 200400.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + 3 q^{11} + q^{13} + 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display