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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 115920.bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 115920.bx1 | 115920ce1 | \([0, 0, 0, -198931248, -1118670254928]\) | \(-10798949077834033410048/456193409500390625\) | \(-36779027985187588800000000\) | \([]\) | \(29030400\) | \(3.6721\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 115920.bx do not have complex multiplication.Modular form 115920.2.a.bx
sage: E.q_eigenform(10)