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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 33810.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33810.h1 | 33810b1 | \([1, 1, 0, -19573173, -21107451987]\) | \(143854393630949720089/49888353324003840\) | \(287596429130570660835840\) | \([]\) | \(5594400\) | \(3.2030\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33810.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33810.h do not have complex multiplication.Modular form 33810.2.a.h
sage: E.q_eigenform(10)