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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 254100.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.bd1 | 254100bd1 | \([0, -1, 0, -54127333, -153258654338]\) | \(-13090375598080/107163\) | \(-143570879778768750000\) | \([]\) | \(25280640\) | \(3.0384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254100.bd do not have complex multiplication.Modular form 254100.2.a.bd
sage: E.q_eigenform(10)