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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 4368.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4368.s1 | 4368z1 | \([0, 1, 0, -1736, 27636]\) | \(-141339344329/2167074\) | \(-8876335104\) | \([]\) | \(2880\) | \(0.71133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4368.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4368.s do not have complex multiplication.Modular form 4368.2.a.s
sage: E.q_eigenform(10)