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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 51600.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 51600.h1 | 51600m1 | \([0, -1, 0, 9988741967, -312100414164563]\) | \(27554726454844416496885738496/26465717996184551883676875\) | \(-105862871984738207534707500000000\) | \([]\) | \(151388160\) | \(4.8321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.h do not have complex multiplication.Modular form 51600.2.a.h
sage: E.q_eigenform(10)