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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 3600x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3600.bq1 | 3600x1 | \([0, 0, 0, -2100, 44300]\) | \(-8780800/2187\) | \(-255091680000\) | \([]\) | \(5376\) | \(0.90668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3600x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3600x do not have complex multiplication.Modular form 3600.2.a.x
sage: E.q_eigenform(10)