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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 95550.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95550.i1 | 95550bx1 | \([1, 1, 0, -61275, -26094375]\) | \(-5764801/63180\) | \(-278856034872187500\) | \([]\) | \(1532160\) | \(2.0295\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 95550.i do not have complex multiplication.Modular form 95550.2.a.i
sage: E.q_eigenform(10)