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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 38646r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38646.bf1 | 38646r1 | \([1, -1, 1, -8448599, -9604599569]\) | \(-3388335951737767194891/64702786021471744\) | \(-1273544937260628337152\) | \([]\) | \(1944000\) | \(2.8439\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646r do not have complex multiplication.Modular form 38646.2.a.r
sage: E.q_eigenform(10)