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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 121275bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.fm1 | 121275bd1 | \([1, -1, 0, -5742, -902959]\) | \(-675/11\) | \(-341228056640625\) | \([]\) | \(316800\) | \(1.4699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275bd do not have complex multiplication.Modular form 121275.2.a.bd
sage: E.q_eigenform(10)