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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 381150.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 381150.q1 | 381150q1 | \([1, -1, 0, -12197367, 40377608541]\) | \(-3287705905/9633792\) | \(-588066323573836800000000\) | \([]\) | \(48660480\) | \(3.2479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150.q do not have complex multiplication.Modular form 381150.2.a.q
sage: E.q_eigenform(10)