Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 21904b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21904.j1 | 21904b1 | \([0, 1, 0, -12777, -507037]\) | \(351232/37\) | \(24302560546048\) | \([]\) | \(43776\) | \(1.3032\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21904b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21904b do not have complex multiplication.Modular form 21904.2.a.b
sage: E.q_eigenform(10)