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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 465690.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.s1 | 465690s1 | \([1, 0, 1, -13004, 7693436]\) | \(-14317849/1497690\) | \(-25436112530875290\) | \([]\) | \(3370752\) | \(1.8274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 465690.s do not have complex multiplication.Modular form 465690.2.a.s
sage: E.q_eigenform(10)