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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 2646.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2646.z1 | 2646x1 | \([1, -1, 1, -14342, -661867]\) | \(-33268701/256\) | \(-2510317184256\) | \([]\) | \(5376\) | \(1.2088\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2646.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2646.z do not have complex multiplication.Modular form 2646.2.a.z
sage: E.q_eigenform(10)