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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 2760.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2760.i1 | 2760i1 | \([0, 1, 0, -201, 1035]\) | \(-3525581824/9315\) | \(-2384640\) | \([]\) | \(768\) | \(0.098748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2760.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2760.i do not have complex multiplication.Modular form 2760.2.a.i
sage: E.q_eigenform(10)