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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 84150bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 84150.q1 | 84150bj1 | \([1, -1, 0, -954567, -367918659]\) | \(-8444922396903721/253364474880\) | \(-2885979721680000000\) | \([]\) | \(1935360\) | \(2.3202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84150bj do not have complex multiplication.Modular form 84150.2.a.bj
sage: E.q_eigenform(10)