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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 213444.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.g1 | 213444f1 | \([0, 0, 0, -5907080487, -174746118341410]\) | \(-8985792737264/2187\) | \(-5547978421002472336535808\) | \([]\) | \(238436352\) | \(4.1251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.g do not have complex multiplication.Modular form 213444.2.a.g
sage: E.q_eigenform(10)