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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 55470d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55470.c1 | 55470d1 | \([1, 1, 0, 48, 666]\) | \(6401711/101250\) | \(-187211250\) | \([]\) | \(21504\) | \(0.26790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55470d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55470d do not have complex multiplication.Modular form 55470.2.a.d
sage: E.q_eigenform(10)