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SageMath
E = EllipticCurve("eo1")
E.isogeny_class()
Elliptic curves in class 35280eo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.k1 | 35280eo1 | \([0, 0, 0, -4368, 111692]\) | \(-1007878144/6075\) | \(-55553299200\) | \([]\) | \(46080\) | \(0.90130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280eo1 has rank \(2\).
Complex multiplication
The elliptic curves in class 35280eo do not have complex multiplication.Modular form 35280.2.a.eo
sage: E.q_eigenform(10)