Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 66248w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66248.c1 | 66248w1 | \([0, 1, 0, -466496, 161666896]\) | \(-114244/49\) | \(-4815385882779157504\) | \([]\) | \(1198080\) | \(2.2924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66248w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66248w do not have complex multiplication.Modular form 66248.2.a.w
sage: E.q_eigenform(10)