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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 277725.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277725.cl1 | 277725cl1 | \([1, 1, 0, 12629600, -134699271875]\) | \(182074754111/6511640625\) | \(-7967703017805260009765625\) | \([]\) | \(55641600\) | \(3.4580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277725.cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277725.cl do not have complex multiplication.Modular form 277725.2.a.cl
sage: E.q_eigenform(10)