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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 402930bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.bd1 | 402930bd1 | \([1, -1, 0, -287700, 57713750]\) | \(75526045083/2543750\) | \(88699634445881250\) | \([]\) | \(5760000\) | \(2.0245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 402930bd do not have complex multiplication.Modular form 402930.2.a.bd
sage: E.q_eigenform(10)