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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 70560.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70560.n1 | 70560ct1 | \([0, 0, 0, -7203, -283318]\) | \(-19208/5\) | \(-10758502218240\) | \([]\) | \(112896\) | \(1.2176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70560.n do not have complex multiplication.Modular form 70560.2.a.n
sage: E.q_eigenform(10)