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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 51714.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51714.d1 | 51714e1 | \([1, -1, 0, -2417661, 1447796533]\) | \(-2628062448817/594864\) | \(-353746404080752176\) | \([]\) | \(1397760\) | \(2.3595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51714.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51714.d do not have complex multiplication.Modular form 51714.2.a.d
sage: E.q_eigenform(10)