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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 18928.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18928.z1 | 18928p1 | \([0, -1, 0, -901, -18903]\) | \(-65536/91\) | \(-112445342464\) | \([]\) | \(16128\) | \(0.81287\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18928.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18928.z do not have complex multiplication.Modular form 18928.2.a.z
sage: E.q_eigenform(10)