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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 214.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
214.a1 | 214b1 | \([1, 0, 1, 1, 0]\) | \(357911/214\) | \(-214\) | \([]\) | \(12\) | \(-0.86354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 214.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 214.a do not have complex multiplication.Modular form 214.2.a.a
sage: E.q_eigenform(10)