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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 335405g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
335405.g1 | 335405g1 | \([0, 0, 1, -9583, 620499]\) | \(-110592/125\) | \(-110005519785875\) | \([]\) | \(2495232\) | \(1.3887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 335405g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 335405g do not have complex multiplication.Modular form 335405.2.a.g
sage: E.q_eigenform(10)