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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1075.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1075.a1 | 1075h1 | \([0, -1, 1, 42, -182]\) | \(20480/43\) | \(-16796875\) | \([]\) | \(330\) | \(0.070710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1075.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1075.a do not have complex multiplication.Modular form 1075.2.a.a
sage: E.q_eigenform(10)