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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 14994.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.p1 | 14994j1 | \([1, -1, 0, -1710, 28244]\) | \(-418114329003/10690688\) | \(-14143780224\) | \([]\) | \(13440\) | \(0.73137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14994.p do not have complex multiplication.Modular form 14994.2.a.p
sage: E.q_eigenform(10)