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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 139650.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.db1 | 139650gi1 | \([1, 0, 1, -10085073451, 904456688075798]\) | \(-98735339854432038328225/250451215107692352768\) | \(-287747412169969703230492500000000\) | \([]\) | \(503193600\) | \(4.9161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.db do not have complex multiplication.Modular form 139650.2.a.db
sage: E.q_eigenform(10)