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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 37440cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37440.cn1 | 37440cz1 | \([0, 0, 0, 6672, -5446048]\) | \(74251994112/29007265625\) | \(-12831886080000000\) | \([]\) | \(215040\) | \(1.7700\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37440cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37440cz do not have complex multiplication.Modular form 37440.2.a.cz
sage: E.q_eigenform(10)