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SageMath
E = EllipticCurve("ef1")
E.isogeny_class()
Elliptic curves in class 457776ef
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
457776.ef1 | 457776ef1 | \([0, 0, 0, -5923344, -226464715348]\) | \(-5102271397888/4915446963867\) | \(-22142366578369377250935552\) | \([]\) | \(148635648\) | \(3.5423\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 457776ef1 has rank \(0\).
Complex multiplication
The elliptic curves in class 457776ef do not have complex multiplication.Modular form 457776.2.a.ef
sage: E.q_eigenform(10)