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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 98736i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.q1 | 98736i1 | \([0, -1, 0, -524, -4365]\) | \(68054272/1377\) | \(322570512\) | \([]\) | \(49152\) | \(0.42372\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 98736i do not have complex multiplication.Modular form 98736.2.a.i
sage: E.q_eigenform(10)