Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 7600.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7600.n1 | 7600l3 | |||||||
7600.n2 | 7600l1 | -optimal | ||||||
7600.n3 | 7600l2 |
Rank
sage: E.rank()
The elliptic curves in class 7600.n have rank .
Complex multiplication
The elliptic curves in class 7600.n do not have complex multiplication.Modular form 7600.2.a.n
sage: E.q_eigenform(10)
Isogeny matrix
sage: E.isogeny_class().matrix()
The entry is the smallest degree of a cyclic isogeny between the -th and -th curve in the isogeny class, in the LMFDB numbering.
Isogeny graph
sage: E.isogeny_graph().plot(edge_labels=True)
The vertices are labelled with LMFDB labels.