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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 90944db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90944.dg1 | 90944db1 | \([0, 1, 0, -65, -318529]\) | \(-1/1421\) | \(-43825031806976\) | \([]\) | \(196608\) | \(1.2965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90944db1 has rank \(1\).
Complex multiplication
The elliptic curves in class 90944db do not have complex multiplication.Modular form 90944.2.a.db
sage: E.q_eigenform(10)