Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 6960.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6960.bd1 | 6960bi2 | |||||||
6960.bd2 | 6960bi1 | -optimal |
Rank
sage: E.rank()
The elliptic curves in class 6960.bd have rank .
Complex multiplication
The elliptic curves in class 6960.bd do not have complex multiplication.Modular form 6960.2.a.bd
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.