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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 405600.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.x1 | 405600x1 | \([0, -1, 0, -123933, -16760043]\) | \(-425920000/243\) | \(-120106453708800\) | \([]\) | \(1969920\) | \(1.6480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.x do not have complex multiplication.Modular form 405600.2.a.x
sage: E.q_eigenform(10)