Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 277200m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.m1 | 277200m1 | \([0, 0, 0, -373575, 91025125]\) | \(-31636584484096/1331669031\) | \(-242696680899750000\) | \([]\) | \(3225600\) | \(2.1025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 277200m do not have complex multiplication.Modular form 277200.2.a.m
sage: E.q_eigenform(10)