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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 103488.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.h1 | 103488bi1 | \([0, -1, 0, -32667777, 71877556521]\) | \(-93303976999933696/2910897\) | \(-120284358200810496\) | \([]\) | \(6021120\) | \(2.7814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488.h do not have complex multiplication.Modular form 103488.2.a.h
sage: E.q_eigenform(10)