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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 145200.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.bd1 | 145200fc1 | \([0, -1, 0, -155008, 21872512]\) | \(53189206081/4218750\) | \(32670000000000000\) | \([]\) | \(1161216\) | \(1.9124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.bd do not have complex multiplication.Modular form 145200.2.a.bd
sage: E.q_eigenform(10)