Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 13872.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.a1 | 13872h1 | \([0, -1, 0, -3275, 78426]\) | \(-34816/3\) | \(-334836357168\) | \([]\) | \(24480\) | \(0.95589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13872.a do not have complex multiplication.Modular form 13872.2.a.a
sage: E.q_eigenform(10)