Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 12600.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12600.m1 | 12600ch1 | \([0, 0, 0, -6375, 464375]\) | \(-6288640/16807\) | \(-76576893750000\) | \([]\) | \(28800\) | \(1.3516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12600.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12600.m do not have complex multiplication.Modular form 12600.2.a.m
sage: E.q_eigenform(10)