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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 66759.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66759.i1 | 66759c1 | \([0, -1, 1, 1638, -2519323]\) | \(69632/392931\) | \(-2740991347049571\) | \([]\) | \(587520\) | \(1.6412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66759.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66759.i do not have complex multiplication.Modular form 66759.2.a.i
sage: E.q_eigenform(10)