Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 203b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
203.b1 | 203b1 | \([1, 1, 1, 0, -2]\) | \(-1/1421\) | \(-1421\) | \([]\) | \(8\) | \(-0.71619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 203b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 203b do not have complex multiplication.Modular form 203.2.a.b
sage: E.q_eigenform(10)