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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 177450.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.z1 | 177450in1 | \([1, 1, 0, -1550, 22950]\) | \(-3902921425/18522\) | \(-1956386250\) | \([]\) | \(147744\) | \(0.63249\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450.z do not have complex multiplication.Modular form 177450.2.a.z
sage: E.q_eigenform(10)