Show commands:
SageMath
E = EllipticCurve("hh1")
E.isogeny_class()
Elliptic curves in class 78400.hh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 78400.hh1 | 78400be1 | \([0, 1, 0, 1051867, -1301880637]\) | \(12459008/78125\) | \(-807072140000000000000\) | \([]\) | \(2408448\) | \(2.6935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.hh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.hh do not have complex multiplication.Modular form 78400.2.a.hh
sage: E.q_eigenform(10)