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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 376712.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
376712.bd1 | 376712bd1 | \([0, 1, 0, -15084176, -16735055632]\) | \(3844\) | \(98742731095044359013376\) | \([]\) | \(24552000\) | \(3.1213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 376712.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 376712.bd do not have complex multiplication.Modular form 376712.2.a.bd
sage: E.q_eigenform(10)