Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 57150.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.m1 | 57150k1 | \([1, -1, 0, -9675792, -11582558384]\) | \(-8794998189526538809/404958042000\) | \(-4612725197156250000\) | \([]\) | \(2156544\) | \(2.6567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57150.m do not have complex multiplication.Modular form 57150.2.a.m
sage: E.q_eigenform(10)