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SageMath
E = EllipticCurve("he1")
E.isogeny_class()
Elliptic curves in class 216384he
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 216384.q1 | 216384he1 | \([0, -1, 0, 205343, -149104031]\) | \(633631943/6716184\) | \(-10149550945569079296\) | \([]\) | \(5419008\) | \(2.3280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384he1 has rank \(0\).
Complex multiplication
The elliptic curves in class 216384he do not have complex multiplication.Modular form 216384.2.a.he
sage: E.q_eigenform(10)