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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 105966.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105966.h1 | 105966y1 | \([1, -1, 0, -490278348, -5976009007920]\) | \(-42495637383193/25713241344\) | \(-7886137289635630217281694976\) | \([]\) | \(76838400\) | \(4.0550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105966.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105966.h do not have complex multiplication.Modular form 105966.2.a.h
sage: E.q_eigenform(10)