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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 13520i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13520.w1 | 13520i1 | \([0, 1, 0, -9520, -359657]\) | \(7311616/25\) | \(326292288400\) | \([]\) | \(19968\) | \(1.0728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13520i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13520i do not have complex multiplication.Modular form 13520.2.a.i
sage: E.q_eigenform(10)