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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 123210.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123210.g1 | 123210e1 | \([1, -1, 0, -351405, 58596815]\) | \(36963/10\) | \(1298317780552819230\) | \([]\) | \(2344320\) | \(2.1836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123210.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 123210.g do not have complex multiplication.Modular form 123210.2.a.g
sage: E.q_eigenform(10)