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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 226576u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 226576.bd1 | 226576u1 | \([0, -1, 0, 165212, 27032300]\) | \(14000/17\) | \(-605573322866962688\) | \([]\) | \(2322432\) | \(2.0982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226576u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 226576u do not have complex multiplication.Modular form 226576.2.a.u
sage: E.q_eigenform(10)