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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 74052m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 74052.g1 | 74052m1 | \([0, 0, 0, -2480016, -61352439676]\) | \(-5102271397888/4915446963867\) | \(-1625124430631047904287488\) | \([]\) | \(15482880\) | \(3.3247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74052m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74052m do not have complex multiplication.Modular form 74052.2.a.m
sage: E.q_eigenform(10)