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SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 185130fl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.m1 | 185130fl1 | \([1, -1, 0, -1592685, 782800805]\) | \(-1130261749344073467/14888279736320\) | \(-5885441197725450240\) | \([]\) | \(4999680\) | \(2.4098\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130fl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185130fl do not have complex multiplication.Modular form 185130.2.a.fl
sage: E.q_eigenform(10)