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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 53550.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53550.h1 | 53550c1 | \([1, -1, 0, 35058, 345716]\) | \(15494117157/9143008\) | \(-2811903538500000\) | \([]\) | \(336000\) | \(1.6538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53550.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53550.h do not have complex multiplication.Modular form 53550.2.a.h
sage: E.q_eigenform(10)