Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 35739s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35739.f1 | 35739s1 | \([1, -1, 1, 68161, -96051400]\) | \(2828663/323433\) | \(-4004429619133979937\) | \([]\) | \(656640\) | \(2.2489\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35739s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35739s do not have complex multiplication.Modular form 35739.2.a.s
sage: E.q_eigenform(10)