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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 7623g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7623.o1 | 7623g1 | \([1, -1, 0, 27, -302]\) | \(24167/441\) | \(-38900169\) | \([]\) | \(2304\) | \(0.13682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7623g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7623g do not have complex multiplication.Modular form 7623.2.a.g
sage: E.q_eigenform(10)