Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 47096.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47096.m1 | 47096m1 | \([0, 0, 0, 24389, -41022298]\) | \(108/49\) | \(-727910556485202944\) | \([]\) | \(1195264\) | \(2.1065\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47096.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47096.m do not have complex multiplication.Modular form 47096.2.a.m
sage: E.q_eigenform(10)