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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 392784w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.w1 | 392784w1 | \([0, -1, 0, -353030120, -2552911750416]\) | \(29438568388080309583/779351913642\) | \(128817810791658318618624\) | \([]\) | \(88058880\) | \(3.5398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784w1 has rank \(2\).
Complex multiplication
The elliptic curves in class 392784w do not have complex multiplication.Modular form 392784.2.a.w
sage: E.q_eigenform(10)