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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 28050.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28050.db1 | 28050dn1 | \([1, 0, 0, -106063, 13626617]\) | \(-8444922396903721/253364474880\) | \(-3958819920000000\) | \([]\) | \(241920\) | \(1.7709\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050.db1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28050.db do not have complex multiplication.Modular form 28050.2.a.db
sage: E.q_eigenform(10)