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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 290400cf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 290400.cf1 | 290400cf1 | \([0, -1, 0, 201667, -56757963]\) | \(12800/27\) | \(-1913285880000000000\) | \([]\) | \(3686400\) | \(2.1922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290400cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 290400cf do not have complex multiplication.Modular form 290400.2.a.cf
sage: E.q_eigenform(10)