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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 3042.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3042.d1 | 3042c1 | \([1, -1, 0, -5355, 5791189]\) | \(-169/144\) | \(-14471833040340624\) | \([]\) | \(19968\) | \(1.7799\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3042.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3042.d do not have complex multiplication.Modular form 3042.2.a.d
sage: E.q_eigenform(10)