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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 13520.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13520.s1 | 13520b1 | \([0, 1, 0, -71036, -7310965]\) | \(3037375744/25\) | \(326292288400\) | \([]\) | \(29952\) | \(1.3796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13520.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13520.s do not have complex multiplication.Modular form 13520.2.a.s
sage: E.q_eigenform(10)