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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 6864.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6864.q1 | 6864ba1 | \([0, 1, 0, -9152, -7614156]\) | \(-20699471212993/6097712265216\) | \(-24976229438324736\) | \([]\) | \(63360\) | \(1.8256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6864.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6864.q do not have complex multiplication.Modular form 6864.2.a.q
sage: E.q_eigenform(10)