Show commands:
SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 12480bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.q1 | 12480bt1 | \([0, -1, 0, -11211, 460665]\) | \(-2435092894982656/88846875\) | \(-5686200000\) | \([]\) | \(13440\) | \(0.95972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12480bt do not have complex multiplication.Modular form 12480.2.a.bt
sage: E.q_eigenform(10)