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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 98736.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.s1 | 98736r1 | \([0, -1, 0, -10204, 13543]\) | \(501633924352/290107737\) | \(67959478038672\) | \([]\) | \(230400\) | \(1.3436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 98736.s do not have complex multiplication.Modular form 98736.2.a.s
sage: E.q_eigenform(10)