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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 179776bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 179776.bf1 | 179776bj1 | \([0, -1, 0, -58161281, -539979415423]\) | \(-25153757/131072\) | \(-113379013690573239504338944\) | \([]\) | \(53973504\) | \(3.6836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179776bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179776bj do not have complex multiplication.Modular form 179776.2.a.bj
sage: E.q_eigenform(10)