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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 16744h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16744.b1 | 16744h1 | \([0, 1, 0, -1177, -14757]\) | \(704988556288/59778173\) | \(15303212288\) | \([]\) | \(13120\) | \(0.69576\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16744h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16744h do not have complex multiplication.Modular form 16744.2.a.h
sage: E.q_eigenform(10)