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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 13328.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13328.s1 | 13328g1 | \([0, 1, 0, 572, 5704]\) | \(14000/17\) | \(-25088413952\) | \([]\) | \(8064\) | \(0.68163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13328.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13328.s do not have complex multiplication.Modular form 13328.2.a.s
sage: E.q_eigenform(10)