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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 19074.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 19074.h1 | 19074g1 | \([1, 0, 1, -1647, -25856]\) | \(-1708156114633/215622\) | \(-62314758\) | \([]\) | \(11232\) | \(0.51778\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19074.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19074.h do not have complex multiplication.Modular form 19074.2.a.h
sage: E.q_eigenform(10)