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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 31200.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.h1 | 31200bl1 | \([0, -1, 0, -3133, -68363]\) | \(-53157376/1755\) | \(-112320000000\) | \([]\) | \(27648\) | \(0.89513\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31200.h do not have complex multiplication.Modular form 31200.2.a.h
sage: E.q_eigenform(10)