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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 272734.bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 272734.bh1 | 272734bh1 | \([1, 0, 1, -57902738, -165258653276]\) | \(300318807853063/8771141632\) | \(627039059758430427480064\) | \([]\) | \(36126720\) | \(3.3438\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734.bh do not have complex multiplication.Modular form 272734.2.a.bh
sage: E.q_eigenform(10)