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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4014.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4014.d1 | 4014d1 | \([1, -1, 0, -351, 589]\) | \(6570725617/3653632\) | \(2663497728\) | \([]\) | \(1680\) | \(0.49895\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4014.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4014.d do not have complex multiplication.Modular form 4014.2.a.d
sage: E.q_eigenform(10)