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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 15680.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.bt1 | 15680dq1 | \([0, -1, 0, -18195, -1633043]\) | \(-88478050816/102942875\) | \(-775112083256000\) | \([]\) | \(64512\) | \(1.5511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680.bt do not have complex multiplication.Modular form 15680.2.a.bt
sage: E.q_eigenform(10)