Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 121242br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.be1 | 121242br1 | \([1, 0, 0, -10227, 202401]\) | \(66775173193/28569024\) | \(50611768726464\) | \([]\) | \(460800\) | \(1.3261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121242br do not have complex multiplication.Modular form 121242.2.a.br
sage: E.q_eigenform(10)