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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 14994.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.d1 | 14994f1 | \([1, -1, 0, -51, 153]\) | \(11211291/68\) | \(89964\) | \([]\) | \(3072\) | \(-0.21043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 14994.d do not have complex multiplication.Modular form 14994.2.a.d
sage: E.q_eigenform(10)