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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 67830.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 67830.h1 | 67830g1 | \([1, 1, 0, -1872622, 1430343604]\) | \(-726230423063275053252841/464513665675101880320\) | \(-464513665675101880320\) | \([]\) | \(3104640\) | \(2.6670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67830.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67830.h do not have complex multiplication.Modular form 67830.2.a.h
sage: E.q_eigenform(10)