Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 9200.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.a1 | 9200x1 | \([0, 0, 0, 125, 3970]\) | \(2109375/67712\) | \(-6933708800\) | \([]\) | \(12096\) | \(0.56830\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 9200.a do not have complex multiplication.Modular form 9200.2.a.a
sage: E.q_eigenform(10)