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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 143745.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.h1 | 143745j1 | \([1, 0, 0, -1153411, 476723846]\) | \(-1305751357/105\) | \(-13645982678483085\) | \([]\) | \(1939392\) | \(2.1417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745.h do not have complex multiplication.Modular form 143745.2.a.h
sage: E.q_eigenform(10)