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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 471510.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.i1 | 471510i1 | \([1, -1, 0, 41835, -5383819]\) | \(187247420361/396800000\) | \(-17159041036800000\) | \([]\) | \(3456000\) | \(1.7994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 471510.i do not have complex multiplication.Modular form 471510.2.a.i
sage: E.q_eigenform(10)