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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 61347.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.y1 | 61347x1 | \([1, 0, 1, 360, -15611]\) | \(143/3\) | \(-108679952667\) | \([]\) | \(53856\) | \(0.79796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61347.y do not have complex multiplication.Modular form 61347.2.a.y
sage: E.q_eigenform(10)