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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 76176.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76176.i1 | 76176z1 | \([0, 0, 0, -20631, -1180199]\) | \(-562432/23\) | \(-39713884013808\) | \([]\) | \(253440\) | \(1.3769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76176.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76176.i do not have complex multiplication.Modular form 76176.2.a.i
sage: E.q_eigenform(10)