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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1075.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1075.g1 | 1075e1 | \([0, 1, 1, 2, -1]\) | \(20480/43\) | \(-1075\) | \([]\) | \(66\) | \(-0.73401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1075.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1075.g do not have complex multiplication.Modular form 1075.2.a.g
sage: E.q_eigenform(10)