Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1400.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1400.m1 | 1400c1 | \([0, -1, 0, -208, 2037]\) | \(-6400/7\) | \(-1093750000\) | \([]\) | \(720\) | \(0.42915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1400.m do not have complex multiplication.Modular form 1400.2.a.m
sage: E.q_eigenform(10)