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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 464968.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 464968.h1 | 464968h1 | \([0, -1, 0, -10228, -397207]\) | \(-157216000/1127\) | \(-848331326192\) | \([]\) | \(691200\) | \(1.1213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 464968.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 464968.h do not have complex multiplication.Modular form 464968.2.a.h
sage: E.q_eigenform(10)