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SageMath
E = EllipticCurve("et1")
E.isogeny_class()
Elliptic curves in class 463680.et
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
463680.et1 | 463680et1 | \([0, 0, 0, -117948, -15593272]\) | \(-243090490825984/34514375\) | \(-25764842880000\) | \([]\) | \(1720320\) | \(1.5894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 463680.et1 has rank \(0\).
Complex multiplication
The elliptic curves in class 463680.et do not have complex multiplication.Modular form 463680.2.a.et
sage: E.q_eigenform(10)