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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 61347.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.h1 | 61347bb1 | \([1, 0, 0, 60921, -34357740]\) | \(143/3\) | \(-524577373652649603\) | \([]\) | \(700128\) | \(2.0804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61347.h do not have complex multiplication.Modular form 61347.2.a.h
sage: E.q_eigenform(10)