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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 44100.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.z1 | 44100dd1 | \([0, 0, 0, -8400, 301700]\) | \(-11468800/243\) | \(-1388832480000\) | \([]\) | \(60480\) | \(1.1204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44100.z do not have complex multiplication.Modular form 44100.2.a.z
sage: E.q_eigenform(10)