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SageMath
E = EllipticCurve("mw1")
E.isogeny_class()
Elliptic curves in class 435600mw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435600.mw1 | 435600mw1 | \([0, 0, 0, -7260, 239580]\) | \(-138240\) | \(-306125740800\) | \([]\) | \(491520\) | \(1.0360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435600mw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435600mw do not have complex multiplication.Modular form 435600.2.a.mw
sage: E.q_eigenform(10)