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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 302400.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302400.db1 | 302400db1 | \([0, 0, 0, -150, -250]\) | \(13824/7\) | \(189000000\) | \([]\) | \(82944\) | \(0.28063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302400.db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 302400.db do not have complex multiplication.Modular form 302400.2.a.db
sage: E.q_eigenform(10)