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SageMath
E = EllipticCurve("ef1")
E.isogeny_class()
Elliptic curves in class 232050.ef
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
232050.ef1 | 232050ef1 | \([1, 1, 1, -300138, 863891031]\) | \(-7654674371496385/821165814155232\) | \(-320767896154387500000\) | \([]\) | \(9216000\) | \(2.6143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 232050.ef1 has rank \(1\).
Complex multiplication
The elliptic curves in class 232050.ef do not have complex multiplication.Modular form 232050.2.a.ef
sage: E.q_eigenform(10)