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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 443760.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443760.y1 | 443760y1 | \([0, -1, 0, 738767355855, 198510976976316525]\) | \(27554726454844416496885738496/26465717996184551883676875\) | \(-42828649422421849411097176033482720000\) | \([]\) | \(11656888320\) | \(5.9080\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443760.y do not have complex multiplication.Modular form 443760.2.a.y
sage: E.q_eigenform(10)