Show commands:
SageMath
E = EllipticCurve("he1")
E.isogeny_class()
Elliptic curves in class 187200he
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.ch1 | 187200he1 | \([0, 0, 0, 1501200, 18380412000]\) | \(74251994112/29007265625\) | \(-146163202380000000000000\) | \([]\) | \(15482880\) | \(3.1240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200he1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187200he do not have complex multiplication.Modular form 187200.2.a.he
sage: E.q_eigenform(10)