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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 14994.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.q1 | 14994e1 | \([1, -1, 0, 7635, 34117]\) | \(15494117157/9143008\) | \(-29042975201184\) | \([]\) | \(38400\) | \(1.2727\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14994.q do not have complex multiplication.Modular form 14994.2.a.q
sage: E.q_eigenform(10)