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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 17325be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 17325.bd1 | 17325be1 | \([0, 0, 1, 450, -844]\) | \(884736/539\) | \(-6139546875\) | \([]\) | \(7840\) | \(0.56737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17325be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17325be do not have complex multiplication.Modular form 17325.2.a.be
sage: E.q_eigenform(10)