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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 260100.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
260100.bd1 | 260100bd1 | \([0, 0, 0, -73695, -7516890]\) | \(36720\) | \(1205410885804800\) | \([]\) | \(969408\) | \(1.6739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 260100.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 260100.bd do not have complex multiplication.Modular form 260100.2.a.bd
sage: E.q_eigenform(10)