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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 17787.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.z1 | 17787c1 | \([0, -1, 1, 69172, -25440955]\) | \(3584000/29403\) | \(-300283918846086483\) | \([]\) | \(302400\) | \(2.0350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787.z do not have complex multiplication.Modular form 17787.2.a.z
sage: E.q_eigenform(10)