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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 23184.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23184.h1 | 23184ca1 | \([0, 0, 0, 1309821, 387199874]\) | \(83228502970940543/69854999176704\) | \(-208585909861651316736\) | \([]\) | \(760320\) | \(2.5866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23184.h do not have complex multiplication.Modular form 23184.2.a.h
sage: E.q_eigenform(10)