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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 121968db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121968.en1 | 121968db1 | \([0, 0, 0, -574992, -120173328]\) | \(1216512/343\) | \(5927708541624274944\) | \([]\) | \(1520640\) | \(2.3091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121968db do not have complex multiplication.Modular form 121968.2.a.db
sage: E.q_eigenform(10)