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SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 193600fl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 193600.jp1 | 193600fl1 | \([0, 0, 0, -2262700, 2840354000]\) | \(-1459161/3125\) | \(-2743793676800000000000\) | \([]\) | \(16220160\) | \(2.8026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600fl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193600fl do not have complex multiplication.Modular form 193600.2.a.fl
sage: E.q_eigenform(10)