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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 418275.co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418275.co1 | 418275co1 | \([1, -1, 0, -792, 46541]\) | \(-675/11\) | \(-895976420625\) | \([]\) | \(442368\) | \(0.97469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418275.co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 418275.co do not have complex multiplication.Modular form 418275.2.a.co
sage: E.q_eigenform(10)