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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 13328.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13328.z1 | 13328z1 | \([0, 0, 0, -1198099, 1819424978]\) | \(-164384733177/1140850688\) | \(-1319985488546288893952\) | \([]\) | \(1048320\) | \(2.7359\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13328.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13328.z do not have complex multiplication.Modular form 13328.2.a.z
sage: E.q_eigenform(10)