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SageMath
E = EllipticCurve("dv1")
E.isogeny_class()
Elliptic curves in class 108900dv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108900.p1 | 108900dv1 | \([0, 0, 0, -6600, 337700]\) | \(-2252800/2187\) | \(-30866093280000\) | \([]\) | \(266112\) | \(1.2844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900dv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 108900dv do not have complex multiplication.Modular form 108900.2.a.dv
sage: E.q_eigenform(10)