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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 334620.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.h1 | 334620h1 | \([0, 0, 0, -18771168, -33373300012]\) | \(-369606787072/29229255\) | \(-57846276684244975829760\) | \([]\) | \(23721984\) | \(3.1146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.h do not have complex multiplication.Modular form 334620.2.a.h
sage: E.q_eigenform(10)