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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 30926.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30926.i1 | 30926g1 | \([1, 1, 1, 52970, 3428883]\) | \(1524845951/1347584\) | \(-14525898109915136\) | \([]\) | \(211968\) | \(1.7887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30926.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30926.i do not have complex multiplication.Modular form 30926.2.a.i
sage: E.q_eigenform(10)