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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 198900q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 198900.cf1 | 198900q1 | \([0, 0, 0, -368625, 86903125]\) | \(-243164694272/2490891\) | \(-56745610593750000\) | \([]\) | \(1751040\) | \(2.0328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 198900q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 198900q do not have complex multiplication.Modular form 198900.2.a.q
sage: E.q_eigenform(10)