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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1075.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1075.d1 | 1075a1 | \([0, 0, 1, -200, -1469]\) | \(-56623104/26875\) | \(-419921875\) | \([]\) | \(192\) | \(0.36051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1075.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1075.d do not have complex multiplication.Modular form 1075.2.a.d
sage: E.q_eigenform(10)