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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 61200.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61200.y1 | 61200fy1 | \([0, 0, 0, -6976875, 5454756250]\) | \(1288009359025/304570368\) | \(8881271930880000000000\) | \([]\) | \(4193280\) | \(2.9231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61200.y do not have complex multiplication.Modular form 61200.2.a.y
sage: E.q_eigenform(10)