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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 349690.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349690.d1 | 349690d1 | \([1, 1, 0, 174117, 35485663]\) | \(13651919/20570\) | \(-879597387753049130\) | \([]\) | \(4423680\) | \(2.1286\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349690.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 349690.d do not have complex multiplication.Modular form 349690.2.a.d
sage: E.q_eigenform(10)