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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 478800.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
478800.cw1 | 478800cw1 | \([0, 0, 0, -29637766875, -4556567373893750]\) | \(-98735339854432038328225/250451215107692352768\) | \(-7303157432540309006714880000000000\) | \([]\) | \(2012774400\) | \(5.1856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 478800.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 478800.cw do not have complex multiplication.Modular form 478800.2.a.cw
sage: E.q_eigenform(10)