Show commands:
SageMath
E = EllipticCurve("in1")
E.isogeny_class()
Elliptic curves in class 273600in
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273600.in1 | 273600in1 | \([0, 0, 0, 22740, 6290480]\) | \(272199695/3735552\) | \(-17846877605068800\) | \([]\) | \(1179648\) | \(1.7991\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600in1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273600in do not have complex multiplication.Modular form 273600.2.a.in
sage: E.q_eigenform(10)