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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 66248s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66248.v1 | 66248s1 | \([0, 1, 0, -10404, -375712]\) | \(10192\) | \(12221009172736\) | \([]\) | \(120960\) | \(1.2481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66248s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66248s do not have complex multiplication.Modular form 66248.2.a.s
sage: E.q_eigenform(10)