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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 36300z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 36300.m1 | 36300z1 | \([0, -1, 0, 806667, -175640463]\) | \(327680000/264627\) | \(-46880287274700000000\) | \([]\) | \(604800\) | \(2.4624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36300z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36300z do not have complex multiplication.Modular form 36300.2.a.z
sage: E.q_eigenform(10)