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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 75810.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.g1 | 75810f1 | \([1, 1, 0, -273, -13083]\) | \(-6268848049/197650320\) | \(-71351765520\) | \([]\) | \(88704\) | \(0.76295\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810.g do not have complex multiplication.Modular form 75810.2.a.g
sage: E.q_eigenform(10)