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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1034a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1034.a1 | 1034a1 | \([1, 0, 1, -12, 14]\) | \(-169112377/2068\) | \(-2068\) | \([]\) | \(128\) | \(-0.55269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1034a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1034a do not have complex multiplication.Modular form 1034.2.a.a
sage: E.q_eigenform(10)