Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 38962bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38962.x1 | 38962bh1 | \([1, 1, 1, -1560600, 749412313]\) | \(237269779307308441/118849798144\) | \(210549667249782784\) | \([]\) | \(648960\) | \(2.2767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38962bh do not have complex multiplication.Modular form 38962.2.a.bh
sage: E.q_eigenform(10)