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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 23120g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23120.ba1 | 23120g1 | \([0, 1, 0, -96, -5020]\) | \(-1156/125\) | \(-10690688000\) | \([]\) | \(13824\) | \(0.60390\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23120g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23120g do not have complex multiplication.Modular form 23120.2.a.g
sage: E.q_eigenform(10)