Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 15456.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15456.g1 | 15456n1 | \([0, -1, 0, 0, 24]\) | \(-8/483\) | \(-247296\) | \([]\) | \(1728\) | \(-0.28625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15456.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15456.g do not have complex multiplication.Modular form 15456.2.a.g
sage: E.q_eigenform(10)