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SageMath
E = EllipticCurve("hs1")
E.isogeny_class()
Elliptic curves in class 78400hs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 78400.dv1 | 78400hs1 | \([0, -1, 0, -92283, -10770563]\) | \(-738763264/875\) | \(-102942875000000\) | \([]\) | \(221184\) | \(1.6003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400hs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400hs do not have complex multiplication.Modular form 78400.2.a.hs
sage: E.q_eigenform(10)