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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 328560.dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.dg1 | 328560dg1 | \([0, 1, 0, -877985, -318761205]\) | \(-2249728/15\) | \(-499053080813095680\) | \([]\) | \(5370624\) | \(2.2314\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.dg do not have complex multiplication.Modular form 328560.2.a.dg
sage: E.q_eigenform(10)