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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 14994a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.z1 | 14994a1 | \([1, -1, 0, -119814, 13507892]\) | \(1676381427/278528\) | \(31604176116301824\) | \([]\) | \(112896\) | \(1.8873\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14994a do not have complex multiplication.Modular form 14994.2.a.a
sage: E.q_eigenform(10)