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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 334620.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.g1 | 334620g1 | \([0, 0, 0, -5030688, -4412809388]\) | \(-446428245279637504/8372963671875\) | \(-264078719318700000000\) | \([]\) | \(12976128\) | \(2.7135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.g do not have complex multiplication.Modular form 334620.2.a.g
sage: E.q_eigenform(10)