Properties

Label 397800.cw
Number of curves $1$
Conductor $397800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 397800.cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.cw1 397800cw1 \([0, 0, 0, -75, -27290]\) \(-1250/8619\) \(-321702451200\) \([]\) \(380928\) \(0.88699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.cw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 397800.cw do not have complex multiplication.

Modular form 397800.2.a.cw

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