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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 455175i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.i1 | 455175i1 | \([0, 0, 1, -4443375, -3598004844]\) | \(1411502080/3213\) | \(22084715900239453125\) | \([]\) | \(21565440\) | \(2.5933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 455175i do not have complex multiplication.Modular form 455175.2.a.i
sage: E.q_eigenform(10)