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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 209484bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 209484.i1 | 209484bl1 | \([0, 0, 0, -22667121, -41533721379]\) | \(98724096/11\) | \(143510051558412574992\) | \([]\) | \(9856512\) | \(2.8964\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209484bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 209484bl do not have complex multiplication.Modular form 209484.2.a.bl
sage: E.q_eigenform(10)