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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 86394q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.k1 | 86394q1 | \([1, 1, 0, -180292, 29359312]\) | \(44267613003805081/54092365824\) | \(791966328029184\) | \([]\) | \(601920\) | \(1.7688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86394q do not have complex multiplication.Modular form 86394.2.a.q
sage: E.q_eigenform(10)