Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 304200.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.n1 | 304200n1 | \([0, 0, 0, -207781275, -1163353792250]\) | \(-616966948/6561\) | \(-10549966286408314896000000\) | \([]\) | \(86261760\) | \(3.6181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 304200.n do not have complex multiplication.Modular form 304200.2.a.n
sage: E.q_eigenform(10)