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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 439569.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.s1 | 439569s1 | \([1, -1, 1, -9158, 150518]\) | \(83521/39\) | \(39659760930231\) | \([]\) | \(774144\) | \(1.3037\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 439569.s do not have complex multiplication.Modular form 439569.2.a.s
sage: E.q_eigenform(10)