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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 3525.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3525.g1 | 3525l1 | \([0, 1, 1, -144533, 21693719]\) | \(-21370158463320064/702498571875\) | \(-10976540185546875\) | \([]\) | \(20160\) | \(1.8528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3525.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3525.g do not have complex multiplication.Modular form 3525.2.a.g
sage: E.q_eigenform(10)