Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 35739b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35739.l1 | 35739b1 | \([0, 0, 1, -4104, -246112]\) | \(-56623104/161051\) | \(-21742802507547\) | \([]\) | \(72000\) | \(1.2463\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35739b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35739b do not have complex multiplication.Modular form 35739.2.a.b
sage: E.q_eigenform(10)