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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 67760s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.t1 | 67760s1 | \([0, -1, 0, -1122920, -460655600]\) | \(-356696720402/2734375\) | \(-1200409733600000000\) | \([]\) | \(946176\) | \(2.2988\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67760s do not have complex multiplication.Modular form 67760.2.a.s
sage: E.q_eigenform(10)