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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 76230bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 76230.q1 | 76230bj1 | \([1, -1, 0, -2745, -81779]\) | \(-214358881/151200\) | \(-1613801296800\) | \([]\) | \(138240\) | \(1.0425\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76230bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76230bj do not have complex multiplication.Modular form 76230.2.a.bj
sage: E.q_eigenform(10)