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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 88200z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.hh1 | 88200z1 | \([0, 0, 0, -3737475, -3658558050]\) | \(-1947910950/823543\) | \(-2441044981556455680000\) | \([]\) | \(4257792\) | \(2.8117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200z do not have complex multiplication.Modular form 88200.2.a.z
sage: E.q_eigenform(10)