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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 303600w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.w1 | 303600w1 | \([0, -1, 0, -9200108, -10737757413]\) | \(-344478821986234930432/72909237159\) | \(-18227309289750000\) | \([]\) | \(8709120\) | \(2.5058\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303600w do not have complex multiplication.Modular form 303600.2.a.w
sage: E.q_eigenform(10)