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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 3600q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3600.a1 | 3600q1 | \([0, 0, 0, -52500, 5537500]\) | \(-8780800/2187\) | \(-3985807500000000\) | \([]\) | \(26880\) | \(1.7114\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3600q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3600q do not have complex multiplication.Modular form 3600.2.a.q
sage: E.q_eigenform(10)