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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 397800.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.db1 | 397800db1 | \([0, 0, 0, -31824075, 131928907750]\) | \(-152796558778456322/233895263671875\) | \(-5456308710937500000000000\) | \([]\) | \(57507840\) | \(3.4381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397800.db do not have complex multiplication.Modular form 397800.2.a.db
sage: E.q_eigenform(10)