Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 7800.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7800.m1 | 7800x1 | \([0, 1, 0, 47, -2077]\) | \(351232/59319\) | \(-1898208000\) | \([]\) | \(5760\) | \(0.45962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7800.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7800.m do not have complex multiplication.Modular form 7800.2.a.m
sage: E.q_eigenform(10)