Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 27584h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27584.c1 | 27584h1 | \([0, 0, 0, -8212, 286432]\) | \(-14952388971456/431\) | \(-1765376\) | \([]\) | \(35840\) | \(0.70758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27584h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27584h do not have complex multiplication.Modular form 27584.2.a.h
sage: E.q_eigenform(10)