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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 103488.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.s1 | 103488bd1 | \([0, -1, 0, -6799, 218065]\) | \(-11085279718912/29403\) | \(-92207808\) | \([]\) | \(103680\) | \(0.76349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 103488.s do not have complex multiplication.Modular form 103488.2.a.s
sage: E.q_eigenform(10)