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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 116610h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.a1 | 116610h1 | \([1, 1, 0, -28798, -7646348]\) | \(-1202276063628037/10764582912000\) | \(-23649788657664000\) | \([]\) | \(1213056\) | \(1.8244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116610h do not have complex multiplication.Modular form 116610.2.a.h
sage: E.q_eigenform(10)