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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 93138.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93138.i1 | 93138i1 | \([1, 1, 0, -83, -315]\) | \(178484689/9288\) | \(3352968\) | \([]\) | \(59616\) | \(0.0095181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93138.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93138.i do not have complex multiplication.Modular form 93138.2.a.i
sage: E.q_eigenform(10)