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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 294350bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 294350.bj1 | 294350bj1 | \([1, -1, 0, -151117, 24483941]\) | \(-1026590625/100352\) | \(-37307318693120000\) | \([]\) | \(6386688\) | \(1.9208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 294350bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 294350bj do not have complex multiplication.Modular form 294350.2.a.bj
sage: E.q_eigenform(10)