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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 74025.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 74025.w1 | 74025c1 | \([0, 0, 1, -307357200, 2074021243031]\) | \(-10441011330958888009728/128515625\) | \(-39524578857421875\) | \([]\) | \(5308416\) | \(3.2014\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74025.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74025.w do not have complex multiplication.Modular form 74025.2.a.w
sage: E.q_eigenform(10)