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SageMath
E = EllipticCurve("hz1")
E.isogeny_class()
Elliptic curves in class 88200.hz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 88200.hz1 | 88200r1 | \([0, 0, 0, -1620675, -1021025250]\) | \(-2646\) | \(-177918730434144000000\) | \([]\) | \(2822400\) | \(2.5954\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.hz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200.hz do not have complex multiplication.Modular form 88200.2.a.hz
sage: E.q_eigenform(10)