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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 379050.bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 379050.bj1 | 379050bj1 | \([1, 1, 0, -76717200, 10634897424000]\) | \(-15845994475/15495785088\) | \(-48831047024657020698750000000\) | \([]\) | \(390700800\) | \(4.1839\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.bj do not have complex multiplication.Modular form 379050.2.a.bj
sage: E.q_eigenform(10)