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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 1682.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1682.h1 | 1682j1 | \([1, 1, 1, -39124, -2988683]\) | \(13239457/32\) | \(16007885214752\) | \([]\) | \(8700\) | \(1.4125\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1682.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1682.h do not have complex multiplication.Modular form 1682.2.a.h
sage: E.q_eigenform(10)