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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 130680dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
130680.bm1 | 130680dg1 | \([0, 0, 0, -22143, 1321683]\) | \(-1568892672/78125\) | \(-59790183750000\) | \([]\) | \(470400\) | \(1.4046\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 130680dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 130680dg do not have complex multiplication.Modular form 130680.2.a.dg
sage: E.q_eigenform(10)