sage:E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 42978.n
sage:E.isogeny_class().curves
LMFDB label |
Cremona label |
Weierstrass coefficients |
j-invariant |
Discriminant |
Torsion structure |
Modular degree |
Faltings height |
Optimality |
42978.n1 |
42978h1 |
[1,1,1,113988,818888349] |
163795088554066363967/289750937641750196352 |
−289750937641750196352 |
[] |
2268000 |
2.6053
|
Γ0(N)-optimal |
sage:E.rank()
The elliptic curve 42978.n1 has
rank 1.
The elliptic curves in class 42978.n do not have complex multiplication.
sage:E.q_eigenform(10)