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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 429429b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.b1 | 429429b1 | \([0, -1, 1, -1966774, -1192635390]\) | \(-14764896256/2250423\) | \(-128239278611635121931\) | \([]\) | \(26002944\) | \(2.5876\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 429429b do not have complex multiplication.Modular form 429429.2.a.b
sage: E.q_eigenform(10)