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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 101478.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101478.h1 | 101478i1 | \([1, 0, 0, -1582, 24116]\) | \(-437885240681953/591819696\) | \(-591819696\) | \([]\) | \(107520\) | \(0.58865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101478.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 101478.h do not have complex multiplication.Modular form 101478.2.a.h
sage: E.q_eigenform(10)