Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 33327.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33327.b1 | 33327d1 | \([0, 0, 1, -201549, -37258396]\) | \(-226534772736/18941489\) | \(-75708544403665467\) | \([]\) | \(413952\) | \(1.9842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33327.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33327.b do not have complex multiplication.Modular form 33327.2.a.b
sage: E.q_eigenform(10)