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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 238260g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.g1 | 238260g1 | \([0, -1, 0, -249210, 48074985]\) | \(-6299021056/16335\) | \(-4438824036395760\) | \([]\) | \(2610144\) | \(1.8783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 238260g do not have complex multiplication.Modular form 238260.2.a.g
sage: E.q_eigenform(10)