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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 22050.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.h1 | 22050q1 | \([1, -1, 0, 49383, 12106541]\) | \(10733445/57344\) | \(-71154115200000000\) | \([]\) | \(299520\) | \(1.9157\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22050.h do not have complex multiplication.Modular form 22050.2.a.h
sage: E.q_eigenform(10)