Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 47190.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.m1 | 47190l1 | \([1, 1, 0, 12953653, 11216142909]\) | \(1121395878788998439/902241990000000\) | \(-193403583367613190000000\) | \([]\) | \(5174400\) | \(3.1561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190.m do not have complex multiplication.Modular form 47190.2.a.m
sage: E.q_eigenform(10)