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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 93138bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93138.w1 | 93138bd1 | \([1, 1, 1, -5242, -163093]\) | \(-338608873/41796\) | \(-1966329642276\) | \([]\) | \(252720\) | \(1.0935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93138bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93138bd do not have complex multiplication.Modular form 93138.2.a.bd
sage: E.q_eigenform(10)